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papers
161. Barrera M, Grudsky S, Stukopin V, Voronin I. Asymptotics of the eigenvalues of seven-diagonal Toeplitz matrices of a special form. Adv. Oper. Theory 9 (2024), No. 4, Paper No. 79. https://doi.org/10.1007/s43036-024-00374-1
160. Bogoya M, Grudsky S. M, Serra-Capizzano S. Eigenvalue superposition for Toeplitz matrix-sequences with matrix order dependent symbols. Linear Algebra Appl. 697 (2024), pp. 487–527. https://doi.org/10.1016/j.laa.2024.04.019
159. Grudsky Sergei M, Maximenko Egor A, Soto-González Alejandro. Eigenvalues of Laplacian matrices of the cycles with one negative-weighted edge. Linear Algebra Appl. 697 (2024), pp. 249–276. https://doi.org/10.1016/j.laa.2023.12.003
158. Bogoya Manuel, Grudsky Sergei M, Serra-Capizzano Stefano. Fast non-Hermitian Toeplitz eigenvalue computations, joining matrixless algorithms and FDE approximation matrices. SIAM J. Matrix Anal. Appl. 45 (2024), No. 1, pp. 284–305. https://doi.org/10.1137/22M1529920
157. Bogoya Manuel, Gasca Juanita, Grudsky Sergei. Eigenvalue asymptotic expansion for non-Hermitian tetradiagonal Toeplitz matrices with real spectrum. J. Math. Anal. Appl. 531 (2024), No. 1, Paper No. 127816, 27 pp. https://doi.org/10.1016/j.jmaa.2023.127816
156. Bogoya M, Böttcher, A, Grudsky S. M. Asymptotic eigenvalue expansions for Toeplitz matrices with certain Fisher-Hartwig symbols. J. Math. Sci. (N.Y.) 271 (2023), No. 2, pp. 176–196. https://doi.org/10.1007/s10958-023-06362-9
155. Bogoya Manuel, Grudsky Sergei M. Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity. Numer. Linear Algebra Appl. 30 (2023), No. 5, Paper No. e2496, 15 pp. https://doi.org/10.1002/nla.2496
154. Grudsky Sergei, Malonek Helmuth R, Rabinovich Vladimir, Stratis Ioannis. Professor Vladislav V. Kravchenko: a mathematician and a friend. J. Math. Sci. (N.Y.) 271 (2023), No. 1, pp. 3–6. https://doi.org/10.1007/s10958-023-06421-1
153. Grudsky Sergei, Karapetyants Alexey, Mirotin Adolf. Estimates for singular numbers of Hausdorff-Zhu operators and applications. Math. Methods Appl. Sci. 46 (2023), No. 8, pp. 9676–9693. https://doi.org/10.1002/mma.9080
152. Grudsky Sergei M, Kravchenko Vladislav V, Torba Sergii M. Realization of the inverse scattering transform method for the Korteweg–de Vries equation. Math. Methods Appl. Sci. 46 (2023), No. 8, pp. 9217–9251. https://doi.org/10.1002/mma.9049
151. Manuel Bogoya, Sergei Grudsky, Mariarosa Mazza, and Stefano Serra-Capizzano. On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems. Linear and Multilinear Algebra 71 (2023), no.15, pp. 2462-2473. DOI: 10.1080/03081087.2022.2105784.
150. Sergei Grudsky, Alexei Rybkin. The inverse scattering transform for weak Wigner-von Neumann type potentials. Nonlinearity 35 (2022), no. 5, pp. 2175-2191. DOI 10.1088/1361-6544/ac5f5e
149. Manuel Bogoya, Sergei Grudsky, Stefano Serra-Capizzano, Cristina Tablino-Possio. Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems. BIT Numerical Mathematics (2022). DOI: 10.1007/s10543-022-00916-0.
148. Sergei M.Grudsky, Egor A.Maximenko, Alejandro Soto-Gonzalez. Eigenvalues of the laplacian matrices of the cycles with one weighted edge. Linear Algebra and its Applications (2022), Volume 653, pp. 86-115. DOI: 10.1016/j.laa.2022.07.011.
147. Yakov M. Erusalimskii, Sergei M. Grudsky, Alexey N. Karapetyants, Mikhail I. Karyakin, Anatoly V. Kozak, Vladislav V. Kravchenko, Vadim D. Kryakvin, and Stefan G. Samko. Special issue in honour of Vladimir S. Rabinovich. Complex Variables and Elliptic Equations, Volume 67 (2022), Issue 3, pp. 517-522. DOI: 10.1080/17476933.2021.1998018.
146. Mauricio Barrera, Sergei M. Grudsky. Asymptotics of eigenvalues for Toeplitz matrices with rational symbols that have a minimum of the 4th order. Complex Variables and Elliptic Equations. Volume 67 (2022), Issue 3, pp. 556-580. DOI: 10.1080/17476933.2021.1963711.
145. Grudsky S.M, Maximenko E.A, Soto-Gonzalez A. Eigenvalues of Tridiagonal Hermitian Toeplitz Matrices with Perturbations in the Off-diagonal Corners. In: Karapetyants A.N, Kravchenko V.V, Lifyand E, Malonek H.R. (eds). Operator Theory and Harmonic Analysis. OTHA 2020. Springer Proceedings in Mathematics and Statistics, vol 357 (2021). Springer, Cham. pp. 179-202. https://doi.org/10.1007/978-3-030-77493-6-11.
144. Böttcher Albrecht, Gasca Juanita, Grudsky Sergei M, Kozak Anatoli V. Eigenvalue clusters of large tetradiagonal Toeplitz matrices. Integral Equations Operator Theory 93 (2021), no. 1, Paper No. 8, pp. 27-47, B35 (15A18 15B05).
143. S. M. Grudsky, O. A. Mendez-Lara. Double-Barrier Option Pricing Under the Hyper-Exponential Jump Diffusion Model. Operator Theory and Harmonic Analysis, OTHA 2020, Part II – Probability-Analytical Models, Methods and Applications, pp.197-217.
142. Sergei Grudsky and Alexei Rybkin . On classical solutions of the KdV equation. Proceedings of the London Mathematical Society, Volume 121, Issue 2 (2020), 354–371 pp. doi:10.1112/plms.12326
141. A. Batalshchikov, S. Grudsky, S. Mihalkovich, I. Malisheva, E. Ramírez de Arellano, and V. Stukopin. Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols. Linea Algebra and Applications, Volume 580 (2019), 292-335 pp.
140. J.M. Bogoya, S.M. Grudsky and I.S. Malysheva. Extreme individual eigenvalues for a class of large Hessenberg Toeplitz matrices. Operator Theory: Advances and Applications, Volume 271 (2018), 119-143 pp.
139. M. Barrera, A. Böttcher, S.M. Grudsky, E.A. Maximenko. Eigenvalues of even very nice. Toeplitz matrices can be unexpectedly erratic. The diversity and beauty of applied operator theory, 51-77 pp, Oper. Theory Adv. Appl, 268, Birkhäuser/Springer, Cham, 2018.
138. Sergei Grudsky and Alexei Rybkin. On the Trace-Class Property of Hankel Operators Arising in the Theory of the Korteweg-de Vries Equation. Mathematical Notes, 2018, Volume 104, Number 3, 377-394 pp.
137. A. Böttcher, J.M. Bogoya, S.M. Grudskii, E.A. Maksimenko. Asymptotic formulas for the eigenvalues and eigenvectors of Toeplitz matrices. SB MATH, Volume 208 (11), 2017, 4-28 pp.
136. J.M. Bogoya, S.M. Grudsky and E.A. Maksimenko. Eigenvalues of Hermitian Toeplitz Matrices
Generated by Simple-loop Symbols with Relaxed Smoothness. Operator Theory: Advances and Applications, Volume 259, 2017, 179–212 pp.
135. M. Barrera and S.M. Grudsky. Asymptotics of Eigenvalues for Pentadiagonal Symmetric Toeplitz Matrices. Operator Theory: Advances and Applications, Volume 259, 2017, 51–77 pp.
134. Sergey Grudsky. Albrecht Böttcher – 20 Years of Friendship and Joint Work. Operator Theory: Advances and Applications, Volume 259, 2017, 1–18 pp.
133. J. M. Bogoya, Albrecht Böttcher, Sergei M. Grudsky, Egor A. Maksimenko. Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols. Linear Algebra and its Applications, Volume 493, 2016, 606–637 pp.
132. Sergei Grudsky, Christian Remling and Alexei Rybkin. The inverse scattering transform for the KdV equation with step-like singular Miura initial profiles. Journal of Math Physics, Volume 56, Number 9, 2015.
131. A.A. Batalshchikov, S.M. Grudsky, E. Ramírez de Arellano, V.A. Stukopin. Asymptotics of Eigenvectors of Large Symmetric Banded Toeplitz Matrices. Integral Equations and Operator Theory, Volume 83, Issue 3, 2015, 301-330 pp.
130. J. M. Bogoya, Albrecht Böttcher, Sergei M. Grudsky, Egor A. Maksimenko. Maximum norm versions of the Szegö and Avram–Parter theorems for Toeplitz matrices. Journal of Approximation Theory, Volume 196, 2015, 79-100 pp.
129. Sergei Grudsky and Alexei Rybkin. Soliton Theory and Hankel Operators. SIAM Journal on Mathematical Analysis, Volume 47, Issue 3, 2015, 2283-2323 pp.
128. A.A. Batalshchikov, S.M. Grudsky, V.A. Stukopin. Asymptotics of eigenvalues of symmetric Toeplitz band matrices. Linear Algebra and its Applications Volume 469, 15, 15 March 2015, 464-486 pp.
127. J. M. Bogoya, Albrecht Böttcher, Sergei M. Grudsky, Egor A. Maksimenko. Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols. Journal of Mathematical Analysis and Applications Volume 422, Issue 2, 15 February 2015, 1308-1334 pp.
126. Sergei Grudsky and Alexei Rybkin. On positive type initial profiles for the KdV equation. Proceedings of the American Mathematical Society Volume 142, Number 6, June 2014, 2079-2086 pp.
125. Sergei Grudsky and Nikolai Tarkhanov. A note on Muskhelishvili-Vecua reduction. Contemporary Mathematics Volumen 591, 2013, 113-126 pp.
124. Sergei Grudsky, Nikolai Tarkhanov. Conformal reduction of boundary problems for harmonic functions in a plane domain with strong singularities on the boundary. Mathematical Sciences, 7:14, 2013, 1-28 pp.
123. R. Carrada-Herrera, S. Grudsky, C. Palomino-Jiménez, R.M. Porter. Asymptotics of European Double-Barrier Option with Compound Poisson Component. Communications in Mathematical Analysis Volumen 14, Number 2, 2013, 40-66 pp.
122. Sergei M. Grudsky, Egor A. Maximenko and Nikolai L. Vasilevski. Radial Toeplitz operators on the unit ball and slowly oscillating sequences. Communications in Mathematical Analysis Volumen 14, Number 2, 2013, 77-94 pp.
121. Sergei Grudsky and Eugene Shargorodsky. Applications of Blaschke products to the spectral theory of Toeplitz operators. Blaschke Products and Their Applications, Fields Institute Communications Volume 65, 2013, 1-30 pp.
120. Sergei Grudsky and Alexei Rybkin. On Toeplitz and Hankel Operators with Oscillatory Symbols Containing Blaschke Products and Applications to the KdV Equation. Operator Theory, Pseudo-Differential Equations, and Mathematical Physics, Operator Theory: Advances and Applications Volume 228, 2013, 127-150 pp, The Vladimir Rabinovich Anniversary Volume.
119. Albrecht Böttcher, Sergei Grudsky and Arieh Iserles. The Fox-Li operator as a test and a spur for Wiener-Hopf theory. Essays in Mathematics and Its Applications, in Honor of Stephen Smale's 80th Birthday, 2012,
pp. 37-48, Springer-Verlag, Heidelberg.
118. J. M. Bogoya, A. Böttcher and S. M. Grudsky. Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries. Journal of Spectral Theory, 2, 2012, 267-292 pp. (Dedicated to William F. Trench and Harold Widom on their 80-th birthdays.)
117. J. M. Bogoya, Albrecht Böttcher, Sergei M. Grudsky, Egor A. Maksimenko. Eigenvectors of Hessenberg Toeplitz matrices and a problem by Dai Geary and Kadanoff. Linea Algebra and its Applications, 436, 2012, 3480-3492 pp.
116. J. M. Bogoya, Albrecht Böttcher and Sergei M. Grudsky. Asymptotics of individual eigenvalues of a class of large Hessenberg Toeplitz matrices. Operator Theory: Advances and Applications, 220, 2012, 77-95 pp.
115. Albrecht Böttcher, Sergei Grudsky, Daan Huybrechs and Arieh Iserles. First-order trace formulas for the iterates of the Fox--Li operator. Operator Theory: Advances and Applications 218, 2012, 207-224 pp, (Israel Gohberg Memorial Volume).
114. A. Böttcher, S.M.Grudsky, R.M. Porter. European double-barrier options
with a compound Poisson component. Progress in Economics
Research, Vol. 18 (A. Tavidze, ed.), 315-331 pp, Nova Science Publishers,
Huntington, NY, 2011.
113. J. M. Bogoya, Albrecht Böttcher, Sergei M. Grudsky, Egor A. Maksimenko.
Eigenvalues of Hessenberg Toeplitz matrices generated by symbols
with several singularities.Communications in Mathematical Analysis, Conference 03 (2011), 23-41 pp.
112. Albrecht Böttcher, Sergei Grudsky and Arieh Iserles. Spectral theory of
large Wiener-Hopf operators with complex-symmetric kernels and rational
symbols. Mathematical Proceedings of Cambridge Philosophical Society, 151 (2011), 161-191 pp.
111. Sergei Grudsky, Yuri Latushkin, Michael Shapiro. The life and work of Nikolai Vasilevski. Operator Theory: Advances and Applications, 210 (2010), 1-14 pp.
110. Sergei M. Grudsky, Egor A. Maksimenko and Nikolai L. Vasilevski.
Operators Bergman-Toeplitz with radial symbols and slowly oscillating
sequences. Trudy nauchnoy shkoly I.B. Simonenko, Memorial Volume, UFU, Rostov on Don, Russia, 2010, 38-43 pp.
109. Albrecht Böttcher, Sergei M. Grudsky, Egor A. Maksimenko. On the Structure of the Eigenvectors of Large Hermitian Toeplitz Band Matrices. Operator Theory: Advances and Applications, 210 (2010), 15-36 pp.
108. Albrecht Böttcher, Sergei M. Grudsky, Egor A. Maksimenko. Inside the Eigenvalues of Certian of Hermitian Toeplitz Band Matrices. Computational and Applied Mathematics, 233 (2010), 2245-2264 pp.
107. A. Böttcher, S.M.Grudsky. Variable-coeficient Toeplitz matrices with symbols beyond the Wiener algebra. Operator Theory: Advances and Applications, Volum 199 (2010), 191-202 pp.(In memory of Georg Heing).
106. Albrecht Böttcher, Sergei M. Grudsky, Egor A. Maksimenko. On the Asymptotics of all the Eigenvalues of Hermitian Toeplitz Band Matrices. Doklady Mathematics, 2009, Vol. 80, No 2, 662--664 pp. (Doklady Akademii Nauk, 2009, Vol. 428, No 2, 153--156 pp. (in Russian )).
105. Albrecht Böttcher, Sergei M. Grudsky, Egor A. Maksimenko and Jérémie Unterberger. The First Order Asymptotics of the Extreme Eigenvectors
of Certain Hermitian Toeplitz Matrices. Integr. Equ. Oper. Theory 63 (2009), 165-180 pp.
104. Sergei Grudsky and Nikolai Vasilevski. Anatomy of the C*-algebra
generated by Toeplitz operators with piece-wise continuous symbols. Operator Theory: Advances and Applications, Vol. 190, 2009, 243-265 pp.
103. Albrecht Böttcher, Sergei M. Grudsky and Jérémie Unterberger. Asymptotic
pseudomodes of Toeplitz matrices. Operators and Matrices, Volume
2, Number 4 (2008), 525-541 pp.
102. Albrecht Böttcher, Sergei M. Grudsky and Egor A. Maksimenko. The
Szegö and Avram-Parter Theorems for general test functions. Competes
Rendus Mathématique, Académie des Sciences, Paris, Ser. I 346
(2008), 749-752 pp.
101. Albrecht Böttcher, Sergei M. Grudsky and Egor A. Maksimenko. Pushing
the Envelope of the Test Functions in the Szegö and Avram-Parter
Theorems. Linea Algebra and its Applications 429(2008), 346-366 pp.
100. Sergei Grudsky and Eugene Shargorodsky. Spectra of Toeplitz operators
and compositions of Muckenhoupt weights with Blaschke products. Integral Equations and Operator Theory, 61, 2008, 63-75 pp.
99. Sergei Grudsky and Nikolai Vasilevski. On the structure of C*-algebra
generated by Toeplitz operators with piece-wise continuous symbols. Complex Analysis and Operator Theory, 2 (2008), 525-548 pp.
98. Albrecht Böttcher, Sergei Grudsky and Moshe Schwartz. Some problems
concerning the test functions in the Szegö and Avram-Parter
Theorems. Operator Theory: Advances and Applications, Volum 187
(2008), 81-93 pp.
97. A. Böttcher, S.M.Grudsky. Uniform Boundness of Toeplitz Matrices
with Variable coefficients . Integral Equations and Operator Theory,
60, 2008, 313-328 pp.
96. S. M. Grudsky. Double Barrier Options Under Levy Processes. Modern
Operator Theory and Applications. Theory, Operator Theory: Advanced and Application, Vol.170, Editors:Ya.M.Erusalimsky, I.Gohberg,
S.M.Grudsky, V.Rabinovich, N.Vasilevski. Birkhäuser. Verlag, Basel-Boston-
Berlin.107-135pp, 2007.
95. S. M. Grudsky, A. N. Karapetyants, N. L. Vasilevski. Dynamics of properties
of Toeplitz operators on weighted Bergman spaces. Siberian Electronic
Math. Reports, v. 3, 2006, p. 362-383 pp. (Russian).
94. S.Grudsky, R.Quiroga-Barranco, N.Vasilevski. Commutative C*-algebras
of Toeplitz operators and quantization on the unit disk. Journal of
Functional analysis, 234, 1-44 pp. (2006).
93. A. Böttcher, S. Grudsky and Ramírez de Arellano. On the asymptotic
behavior of the eigenvectors of large banded Toeplitz matrices. Mathematische Nachrichten, 279, No.1-2, 121-129 pp. (2006).
92. S.M.Grudsky, S.S Mikhalkovich. The Semisectoriality and its use in one
problem of the aeroacoustics. Izvestiya Vysshih Uchebnyh Zavedenii,
Severo-Kavkazskii Region, Estestvennye Nauki, Spetsvypusk, 2005, 43-
48 pp. (Russian).
91. A. Böttcher, S.M. Grudsky. Structured condition numbers of large
Toeplitz matrices are really better than conduction numbers. Numerical
Linear Algebra with Applications, 2005, 12, 95-102 pp.
90. S. Grudsky, N. Vasilevski. Dinamics of Spectra of Toeplitz Operators.
Advances in Analysis. Proceedings of the 4th International ISAAC
Congress. (York University, Toronto, Canada 11-16 August 2003), 495-
504 pp, World Scientific, New Jersey/London/Singapore, 2005.
89. A. Böttcher, S. Grudsky and E. Ramírez de Arellano. Approximating
inverses of toeplitz matrices by circulant matrices. Methods and
Applications of Analysis, 2004, vol. 11, 211-220 pp.
88. A. Böttcher, S.M. Grudsky and E. Ramírez de Arellano. Algebras
of Toeplitz operators with oscillating symbols. Revista Matematica
Iberoamericana, 20(2004), no 3, 647-671 pp.
87. S. Grudsky, K. Khmelnytskaya, V. Kravchenko. On a quaternionic
Maxwell equation for the time-dependent electromagnetic field in a
chiral medium. Journal of Physics A: Mathematical and General, 37(2004), 4641-4647 pp.
86. S. Grudsky, A. Karapetyants and N. Vasilevski. Dynamics of properties
of Toeplitz operators on the upper half-plane: Parabolic case. Journal Operator
Theory, vol. 52, no.1, (2004), 185-214 pp.
85. S. Grudsky, A. Karapetjants, N. Vasilevski. Dynamics of Properties
of Toeplitz Operators with radial symbols. Integral Equation Operator Theory
50 (2004), 217-253 pp.
84. S. Grudsky, A. Karapetyants and N. Vasilevski. Dynamics of properties
of Toeplitz operators on the upper half-plane: Hyperbolic case. Bol.
Soc. Math. Mexicana (3), Vol. 10, (2004), 119-138 pp.
83. A. Böttcher and S. Grudsky. Asymptotically good pseudomodes for
Toeplitz matrices and Wiener-Hopf operators. To the Memory of Ehrhard
Meister. Operator Theory: Advances and Applications, vol 147, 175-188 pp, Birkhäuser Verlag
Basel/Switzerland, 2004.
82. A. Böttcher and S. Grudsky. Fejér means and norms of large Toeplitz
matrices. Acta Scientiarum Mathematicarum, (2003), 889-900 pp.
81. A. Böttcher, S.M. Grudsky. Asymptotic spectra of dense Toeplitz matrices
are unstable. Numerical Algorithms, 33, 105-112 pp, 2003.
80. S.M. Grudsky, S.S. Mikhalkovich and E. Ramírez de Arellano. The
Wiener-Hopf integral equation on a finite interval: asymptotic solution
for large intervals with an application to acoustics. Proceedings
of International Workshop on Linear Algebra, Numerical Functional
Analysis and Wavelet Analysis, Allied Publisher Private Limite, India,
2003, 89-106 pp.
79. A. Böttcher, S. Grudsky. Toeplitz matrices with slowly growing pseudospectra. Factorization, Singular Operators and Related Problems:
Proceedings of the Conference in Honour of Professor Georgii Litvinchuk.
S. Samko, A. Lebre, A. F. Dos Santos (Eds.), Kluwer Academic Publishers,
Dordrecht/Boston/London, 2003, 43-54 pp.
78. A. Böttcher, S. Grudsky. The norm of the product of a large matrix
and a random vector. Electronic Journal of Probability, vol. 8, Paper
7, 1-29 pp, 2003.
77. A. Böttcher, S. Grudsky and I. Spitkovsky. Block Toeplitz operators
with frequency modulated semi-almost periodic symbols. International
Journal of Mathematics and Mathematics Sciences, 2003:34,
2157-2176 pp, June 2003.
76. A. Böttcher, S.M. Grudsky and I.M. Spitkovsky. On the essential spectrum
of Toeplitz operators with semi-almost periodic symbols. Operator Theory: Advances and Applications, vol.142, 59-77 pp, Birchäuser Verlag Basel/ Switzerland,
2003.
75. S. Grudsky. The Siegfried Prössdorf Memorial Volume. (Book review).
Control and Cybernetics, vol. 31, 1055-1057 pp, 2002, no.4.
74. S. Grudsky, A. Karapetyants and N. Vasilevski. Toeplitz operators
on the unit ball in C{n} with radial symbols. Integral Equation and
Operator Theory, 49, 2003, 325-346 pp.
73. A. Böttcher, S. Grudsky and A. Kozak. On the distance of a large
Toeplitz band matrix to the nearest singular matrix. Operator Theory: Advances and Applications, vol. 135, 2002, 101-106 pp.
72. A.Böttcher, S.M.Grudsky. Can spectral value sets of Toeplitz band
matrices jump? Linear Algebra and Applications, vol.351-352, 2002,
99-116 pp.
71. S. Grudsky, N. Vasilevski. Toeplitz operators on the Fock space: radial
component effects. Integral Equations and Operator Theory, vol.44, 1,
2002, 10-37 pp.
70. A. Böttcher, S. Grudsky. Twenty old new asymptotic results on Toeplitz
band matrices. In: Structured Matrices: Recent Developments in Theory
and Computation (D.A. Bini, E. Tyrtyshnikov, P. Yalamov, eds.),
1-10 pp. Nova Science Publishers, Huntington, NY, 2001.
69. A. Böttcher, S. Grudsky. Condition numbers of large Toeplitz-like matrices.
Contemporary Mathematics, vol. 280, 2001, 273-299 pp.
68. S.M. Grudsky, N.L. Vasilevski. Bergman-Toeplitz operators: radial
component influence. Journal Integral Equations and Operator Theory, 40
(2001), no. 1, 16-33 pp.
67. S.M. Grudsky. Toeplitz operators and the modelling of oscillating discontinuities
with the help of Blaschke product. Operator Theory: Advances
and Applications, v. 121, Birkhäuser Verlag, Basel, 2001, 162-
193 pp.
66. S.M. Grudsky, B. Silbermann. Approximate identities, almost-periodic
functions and Toeplitz operators. Acta Applicandae Mathematicae,
v.65, no. 1-3, 2001, 237-271 pp.
65. Böttcher A, Grudsky S, Spitkovsky I. Toeplitz operators with frequensy
modulated semi-almost periodic symbols. Journal Fourier Analysis
and Applications, v.7, 5, 2001, 523-535 pp.
64. S.M. Grudsky, S.S. Mikhalkovich. Semisectoriality and condition numbers
of convolution operators on the large finite intervals. Integrodierential perators, Proceedings of different universities, Rostov-on-
Don, 2001, 5, 78-87 pp.
63. S.M.Grudsky, S.S. Mikhalkovich. Sound propagation in air half-space
above earth surface crossed by a road of a large width. Izv. VUZ,
North-Caucasian region, Natural science, Special number (Mathematical
simulation), 2001, 56-58 pp.
62. S.M. Grudsky, S.S. Mikhalkovich. Convolution equation on a finite interval
with a small length. Izv. VUZ, North-Caucasian region, Natural
science, 4, 2001, 18-23 pp.
61. S.M.Grudsky and S.S.Mikhalkovich. Sound propagation in air halfspace
above earth surface crossed by a road. The limiting absorption
principle. Modern problems of mechanics of solid media, 6 Intern.
conf, 2000, Rostov-on-Don, 79-83 pp.
60. A.V. Agranovskii, O.N. Grudskaya, S.M. Grudsky, A.V. Rozenberg,
V.A. Sborschikov. On exception of mean of the sound pole level in
the hydroacoustic wave guide from the air source. Proceedings of the
VI International Science-Technical Conference "Modern Methods and
Tools of Oceanological Investigations". Moscow, 2000, 264-273 pp.
59. Böttcher A, Grudsky S, Spitkovsky I. Matrix functions with arbitrarily
prescribed left and right partial indices. Integral Equations and
Operator Theory, v.36, N 1, 2000, 71-91 pp.
58. Böttcher A, Grudsky S, Spitkovsky I. On the Fredholm indices of
associated systems of Wiener-Hopf equations. Journal Integral Equations
and Applications, vol.12, N 1, 2000, 1-29 pp.
57. Böttcher A, Grudsky S. and Spitkovsky I. The spectrum is discontinuous
on the manifold of Toeplitz operators. Archiv der Mathematik (Basel),
75, N 1, 2000, 46-52 pp.
56. A. Böttcher, S. Grudsky, A. Kozak and B. Silbermann. Norms of large
Toeplitz band matrices. SIAM Journal Matrix on Analysis and Applications, vol.21, N 2,
1999, 547-561 pp.
55. Böttcher A, Grudsky S. Toeplitz band matrices with exponentially
growing condition numbers. The Electronic Journal of Linear Algebra,
vol 5, 104-125 pp, December 1999. ISSN 1081-3810.
(http://www.math.technion.ac.il/iic/ela).
54. Böttcher A, Grudsky S. Eighteen old and new asymptotic results on
Toeplitz band matrices. Notes on Numerical Fluid Mechanics, v.73,
Large-Scale Scientific Computations of Engineering and Environmental
Problems. Proceedings of the Second Workshop on "Large Scale
Scientific Computations", Bulgaria, June 2-6, 1999, 65-71 pp.
53. Böttcher A, Grudsky S. Condition numbers of large Toeplitz-like matrices.
Proceedings of the AMS-IMS-SIAM Joint Summer Research
conference "Structured Matrices in Operator Theory, Numerical Analysis,
Control, Signal and Image Processing", Boulder, Colorado, 1999
(ed. V.Olshevsky et al.).
52. Böttcher A, Grudsky S.M, Kozak A.V, Silbermann B. Convergence
speed estimates for the norms of the inverses of large truncated Toeplitz
matrices. Journal Calcolo, 36, N 2, 1999, 103-122 pp.
51. Böttcher A, Grudsky S.M. On the condition numbers of large semidenite Toeplitz matrices. Linear Algebra and its Applications,
279, (1998), N 1-3, 285-301 pp.
50. Böttcher A, Grudsky S.M. On the composition of Muckenhoupt weights
and inner functions. Journal London Mathematical Society, (2) 58, N 1, 1998,
172-184 pp.
49. Grudskaya O.N, Grudsky S.M. Wave propagation in air half-space
above absorbing earth surface crossing by rectilinear motorway. Integral
and dfferential operators and its applications, Mezhvuzovskii
sbornik nauchnyh trudov, izdatel'skii tsentr Donskogo gosudarstvennogo
tehnicheskogo universiteta, Rostov-on-Don, 3, 1998, 47-53 pp.
48. Böttcher A, Grudsky S.M, Spitkovsky I.M. Matrix functions with
arbitrary prescribed left and right partial indices. Preprint 98-34, "Two
papers on inverse problems for the partial indices of matrix functions",
Technische Universität Chemnitz, Fakultät für Mathematik, 1998, 1-13 pp.
47. Böttcher A, Grudsky S.M, Spitkovsky I.M. On the Fredholm indices
of associated systems of Wiener-Hopf equations. Preprint 98-34, "Two
papers on inverse problems for the partial indices of matrix functions",
Technische Universität Chemnitz, Fakultät für Mathematik, 1998, 1-13 pp.
46. Böttcher A, Grudsky S. Estimates for the condition numbers of large
semi-definite Toeplitz matrices. Preprint 97-13, Technische universität
Chemnitz-Zwickau, Chemnitz, 1997.
45.Grudsky S.M, Mikhalkovich S.S, Hilko A.I. Low-frequency sound
propagation in hydroacoustic wave guide with surface covered by ice ofnite width. Acoustic Journal, 1997, vol.43, N 5, 630-634 pp.
44. Böttcher A, Grudsky S. and Silbermann B. Norms of inverses, spectra
and pseudospectra of large truncated Wiener-Hopf operators and
Toeplitz matrices. New York Journal of Mathematics, v.3, 1-31 pp,
1997.
43. Grudsky S.M, Kozak A.V. On speed of convergence of norms of operators
inverse to truncated Toeplitz operators. Integral differential
operators, Proceedings of different institutes, Rostov-on-Don, 1996,
45-55 pp.
42. A. Böttcher and S. Grudsky. Toeplitz operators with discontinuous
symbols: phenomena beyond piecewise continuity. Operator Theory:
Advances and Applications, 1996, v.90, 55-118 pp, Birkhäuser Verlag
Basel / Switzerland.
41. Grudsky S.M, Obrezanova O.A, Rabinovich V.S. Sound propagation
in covered by ice ocean generated by moving air source. Acoustic journal,
1996, vol.42, N 2, 191-196 pp.
40. Grudsky S.M. Singular integral operators with infinite index and some
its applications in diffraction theory problems. Dissertation for competition
of the doctor's degree of the physics-mathematical sciences,
Rostov-on-Don, 28.09.95, 386 pp.
39. Grudsky S.M. The convolution equation on the finite interval. The
Riemann value matrix problem method. Proceedings of the international
symposium on electromagnetic theory, 1995, St. Petersburg, May
23-26, 351-353 pp.
38. Grudsky S.M. Toeplitz operators with symbols that have discontinuities
of infinite index type. DAN Rossii, 1995, vol.342, N 3, 307-309 pp.
37. Grudsky S.M. U-factorization of the matrix functions and the Toeplitz
operators with the oscillating symbols. Abstracts of the International
conference "Operator theory for complex and hypercomplex analysis",
12-17 December 1994, Mexico City, Mexico.
36. Avdeev A.D, Grudsky S.M. On modified Kontorovich-Lebedev transformation
and its applications to problem of diffraction of cylindrical
wave on ideal conducting wedge. Radio engineering and electronics,
1994, vol.39, N 7, 1081-1089 pp.
35. Grudsky S.M. U-factorization and Toeplitz operators with infinite index.
In Problems and methods in mathematical physics (Chemnitz,
1993), 59-70 pp, Teubner-Texte Math, 134, Teubner, Stuttgart, 1994.
34. Grudsky S.M. Convolution equations of finite interval and matrix Riemann
problem method.Tenth conference of problems and methods in
mathematical physics. September, 13-17, 1993, Chemnitz.
33. Grudsky S.M. Toeplitz operators with symbols which have discontinuities
of infinite type. Tenth conference of problems and methods in
mathematical physics. September, 13-17, 1993, Chemnitz.
32. Grudsky S.M, Doktorskaya L.D. On the asymptotic method of solution
of convolution equation on finite interval. Collected articles "Differential,
integral equations and complex analysis", Elista, 1993, 10-24 pp.
31. Gorbanev A.N, Grudsky S.M, Rabinovich V.S, Rivelis E.A, Hoha
Yu.V, Edelshtein S.L. Asymptotic of an acoustic field generating in
oceanic wave guide by moving air sound source. Collected articles "Oceanic acoustics", Moscow, Nauka, 1993, 9-21pp.
30. Grudsky S.M. Matrix singular integral operators with infinite index. 2.
Izvestiya VUZov, Mathematics, N 6, 1991, 69-72 pp. (Soviet Math. (Iz.
VUZ), 35, N 6, 1991, 70-72 pp).
29. Grudsky S.M, Rivelis E.A, Hoha Yu.V. Acoustic field generating in
ocean wave guide by point monochromatic source situating in air. Proceedings
of 11 All-Union acoustic conference, Moscow, 1991, 4 pp.
28. Grudsky S.M, Doktorskaya L.D, Rivelis E.A. Influence of ice strip
with finite width on parameters of low-frequency acoustic field. Ship-building industry, ser. Acoustics, 1990, N 7, 26-33 pp.
27. Grudsky S.M, Doktorskaya L.D. On sound propagation in hydroacoustic
wave guide with thin plate of homogeneous ice of finite width on
surface. Dynamic problems in mechanics of solid medium. Proceedings
of regional conference, Krasnodar, 1990, 69-70 pp.
26. Grudskaya O.N, Grudsky S.M, Rivelis E.A. Calculation of full sound field of point monochromatic source in system:
fluid homogeneous layer
on
fluid homogeneous half-space. Collected articles of 2-nd conference "Numerical methods in ocean acoustics", October 1990, 7 pp.
25. Grudsky S.M. Convolution equations on a finite interval with a small
parameter multiplying the growing part of the symbol. Izvestiya VUZov,
Mathematics, 1990, N 7, 7-17 pp. (Soviet Math. (Iz. Vuz), 34, N 7,
1990, 7-18 pp).
24. Grudsky S.M. Sound propagation of point monochromatic source in
system of some osculating wedges. Theses of address on SDV10, Vinnitsa,
1990.
23. Grudsky S.M. Convolution equations on a finite interval with a small
parameter in the growing part of the symbol. Soviet Math. Dokl,
vol.40 (1990), N 3, 596-599 pp. (Dokl. Acad. Nauk SSSR, 309, N 5, 1989,
1040-1043 pp).
22. Grudsky S.M. Convolution equations on the finite interval. Matrix
boundary value Riemann method. Collected articles "Mathematical
methods in applied acoustics", RSU, Rostov-on-Don, 1990, 37-56 pp.
21. Grudskaya O.N, Grudsky S.M, Rivelis E.A. Influence of speed of
transversal waves in bottom on sound propagation in shallow sea. Acoustic
journal, 1989, N 6, vol.35, 1054-1059 pp.
20. Grudskaya O.N, Grudsky S.M, Kravtsov Yu.A, Rivelis E.A, Sabirov
O.I. Sound propagation in simplest hydroacoustic models with
uid or
elastic bottom. Preprint N 57 IOF AN SSSR, 1989, 31 pp.
19. Grudskaya O.N, Grudsky S.M, Rivelis E.A. Calculation of full soundeld of a point monochromatic harmonic source in system:
fluid homogeneous
layer on a
fluid homogeneous half-space. Collected articles
of 4-th conference-seminar "Numerical methods in hydroacoustics",
Moscow, 1989, 4 pp.
18. Grudskaya O.N, Grudsky S.M, Rivelis E.A. Numerical investigation
of contribution of different parts of acoustic field in stratified ocean. Acoustic journal, 1989, N 4, 752-753 pp.
17. Grudsky S.M, Doktorskaya L.D, Rivelis E.A. Sound propagation in
wave guide with thin layer of homogeneous ice of finite width on its surface.
Theses of 2-nd conference "Numerical methods in contemporary
acoustic wave problems", Moscow, 1988.
16. Grudskaya O.N, Grudsky S.M, Rivelis E.A. Calculation of full field of
point monochromatic source in wave guide with elastic bottom. Theses
of 2-nd conference "Numerical methods in contemporary acoustic wave
problems", Moscow, 1988.
15. Grudsky S.M. Factorization of u-periodic matrix-functions and problems
with an in finite index. Soviet Math. Dokl, vol.36 (1988), N 1,
180-183 pp. (Dokl. Akad. Nauk SSSR, 295, N 6, 1987, 1298-1302 pp).
14. Grudsky S.M. Matrix singular integral operators with an in finite index. "Integral operators and equations", 117, Kuban. Gos Univ,
Krasnodar, 1987, 49-64 pp.
13. Grudsky S.M. On the calculation of a field of a point monochromatic
sound source in wave guide partially covered of an elastic plate. Collected
articles "Mathematical methods in applied acoustics", RSU,
Rostov-on-Don, 1986, 66-79 pp.
12. Grudsky S.M. Singular integral operators with in finite index and Blaschke
product. Math. Nachr., 1986, vol.129, 313-331 pp.
11. Grudsky S.M. The Riemann boundary value problem with semi-almost periodic
discontinuities in the space Lp(Г,g). "Integral and differential
equations and approximate solutions", Elista, Kalmytsk. Gos. Univ,
1985, 54-68 pp.
10. Grudsky S.M. Singular integral equations and the Riemann boundary
value problem with in finite index in the space Lp(Г,g). Izvestiya AN
SSSR, 1985, vol.49, N 1, 55-80 pp.
9. Grudsky S.M, Khevelev A.B. On invertibility in L2(R) of singular
integral operators with periodic coefficients and a shift. Soviet Math.
Dokl, vol.27 (1983), N 2, 486-489 pp. (Dokl. Acad. Nauk SSSR, 269, N
6, 1983, 1303-1306 pp).
8. Grudsky S.M. The Riemann boundary value problem with discontinuities
of almost periodic type in L(Г). "Differential and integral
equations and their applications", 1982, Kalmytsk. Gos. Univ, Elista,
30-41 pp.
7. Grudsky S.M. The Riemann boundary value problem with in finite index
in class of summable functions. Dissertation for competition of the
candidate's degree of the physics-mathematical sciences, Rostov-on-
Don, 12.06.81, 131 pp.
6. Grudsky S.M. The Riemann boundary value problem with discontinuities
of almost periodic type in L(Г). Dep. in VINITI 18.11.1980, N
4855-80, 19 pp.
5. Grudsky S.M. On the compactness of one integral operator. Dep. in
VINITI 18.11.1980, N 4856-80, 10 pp.
4. Grudsky S.M. Class of particular cases of Riemann boundary value
problem generating one-side invertibility singular integral operators.
Vorticity points. Dep. in VINITI 12.06.80, N 2339-80, 31 pp.
3. Grudsky S.M. Class of particular cases of Riemann boundary value
problem generating one-side invertibility singular integral operators.
Geometric theory. Dep. in VINITI 12.06.80, N 2340-80, 30 pp.
2. Grudsky S.M., Dybin V.B. The Riemann boundary value problem with
discontinuities of almost periodic type in its coefficient in Lp(Г,g). Linear
operators, Mat. Issled., Kishinev, 1980, 34, 36-49 pp.
1. Grudsky S.M, Dybin V.B. The Riemann boundary value problem with
discontinuities of almost periodic type in its coefficient. Soviet Math.
Dokl, vol.18 (1977), N 6, 1383-1387 pp. (Dokl.Akad.Nauk SSSR, vol.237
(1977), N 1, 21-24 pp). |
