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Funktsional'nyi Analiz i ego Prilozheniya, 1990, Volume 24, Issue 3, Pages 64–65 (Mi faa957)  

This article is cited in 38 scientific papers (total in 38 papers)

Brief communications

Wiener's theorem and the asymptotic estimates of the elements of inverse matrices

A. G. Baskakov

Voronezh State University
References:
Received: 09.03.1988
English version:
Functional Analysis and Its Applications, 1990, Volume 24, Issue 3, Pages 222–224
DOI: https://doi.org/10.1007/BF01077964
Bibliographic databases:
Document Type: Article
UDC: 517.984.3
Language: Russian
Citation: A. G. Baskakov, “Wiener's theorem and the asymptotic estimates of the elements of inverse matrices”, Funktsional. Anal. i Prilozhen., 24:3 (1990), 64–65; Funct. Anal. Appl., 24:3 (1990), 222–224
Citation in format AMSBIB
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\paper Wiener's theorem and the asymptotic estimates of the elements of inverse matrices
\jour Funktsional. Anal. i Prilozhen.
\yr 1990
\vol 24
\issue 3
\pages 64--65
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\transl
\jour Funct. Anal. Appl.
\yr 1990
\vol 24
\issue 3
\pages 222--224
\crossref{https://doi.org/10.1007/BF01077964}
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Linking options:
  • https://www.mathnet.ru/eng/faa957
  • https://www.mathnet.ru/eng/faa/v24/i3/p64
  • This publication is cited in the following 38 articles:
    1. Prakash A. Dabhi, Karishman B. Solanki, “WIENER TYPE THEOREM FOR SOME OPERATOR ALGEBRAS AND ELEMENTS OF BANACH ALGEBRA”, J Math Sci, 2025  crossref
    2. Lukas Köhldorfer, Peter Balazs, “Wiener pairs of Banach algebras of operator-valued matrices”, Journal of Mathematical Analysis and Applications, 2025, 129525  crossref
    3. Karlheinz Gröchenig, Christine Pfeuffer, Joachim Toft, “Spectral invariance of quasi-Banach algebras of matrices and pseudodifferential operators”, Forum Mathematicum, 2024  crossref
    4. Elena Cordero, Gianluca Giacchi, “Quasi-Banach algebras and Wiener properties for pseudodifferential and generalized metaplectic operators”, J. Pseudo-Differ. Oper. Appl., 14:1 (2023)  crossref
    5. E. Yu. Guseva, “O napolnennosti podalgebry lokalnykh absolyutno summiruyuschikh operatorov”, Materialy Voronezhskoi mezhdunarodnoi zimnei matematicheskoi shkoly «Sovremennye metody teorii funktsii i smezhnye problemy», Voronezh, 28 yanvarya – 2 fevralya 2021 g. Chast 2, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 207, VINITI RAN, M., 2022, 27–36  mathnet  crossref
    6. E. Yu. Guseva, “O napolnennosti podalgebry lokalnykh operatorov Gilberta—Shmidta”, Materialy Voronezhskoi vesennei matematicheskoi shkoly «Sovremennye metody teorii kraevykh zadach. Pontryaginskie chteniya–XXX». Voronezh, 3–9 maya 2019 g. Chast 4, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 193, VINITI RAN, M., 2021, 69–86  mathnet  crossref
    7. E. Yu. Guseva, V. G. Kurbatov, “Inverse-Closedness of Subalgebras of Integral Operators with Almost Periodic Kernels”, Complex Anal. Oper. Theory, 14:1 (2020)  crossref
    8. Qiquan Fang, Chang Eon Shin, “Norm-Controlled Inversion of Banach algebras of infinite matrices”, Comptes Rendus. Mathématique, 358:4 (2020), 407  crossref
    9. Chang Eon Shin, Qiyu Sun, Operator Theory: Advances and Applications, 278, Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology, 2020, 467  crossref
    10. Shin Ch.E., Sun Q., “Polynomial Control on Stability, Inversion and Powers of Matrices on Simple Graphs”, J. Funct. Anal., 276:1 (2019), 148–182  crossref  mathscinet  zmath  isi  scopus
    11. N. B. Uskova, “Matrichnyi analiz spektralnykh proektorov vozmuschennykh samosopryazhennykh operatorov”, Sib. elektron. matem. izv., 16 (2019), 369–405  mathnet  crossref  mathscinet
    12. Julien Fageot, Michael Unser, John Paul Ward, “Beyond Wiener's Lemma: Nuclear Convolution Algebras and the Inversion of Digital Filters”, J Fourier Anal Appl, 25:4 (2019), 2037  crossref
    13. G. V. Garkavenko, N. B. Uskova, “Metod podobnykh operatorov v issledovanii spektralnykh svoistv raznostnykh operatorov s rastuschim potentsialom”, Sib. elektron. matem. izv., 14 (2017), 673–689  mathnet  crossref
    14. Nader Motee, Qiyu Sun, “Sparsity and Spatial Localization Measures for Spatially Distributed Systems”, SIAM J. Control Optim., 55:1 (2017), 200  crossref
    15. A. Baskakov, I. Strukova, “Harmonic analysis of functions periodic at infinity”, Eurasian Math. J., 7:4 (2016), 9–29  mathnet
    16. Michele Benzi, Lecture Notes in Mathematics, 2173, Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications, 2016, 211  crossref
    17. A. G. Baskakov, “Estimates for the Green's function and parameters of exponential dichotomy of a hyperbolic operator semigroup and linear relations”, Sb. Math., 206:8 (2015), 1049–1086  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    18. Krishtal I., Strohmer T., Wertz T., “Localization of Matrix Factorizations”, Found. Comput. Math., 15:4 (2015), 931–951  crossref  isi
    19. Michele Benzi, Valeria Simoncini, “Decay Bounds for Functions of Hermitian Matrices with Banded or Kronecker Structure”, SIAM J. Matrix Anal. & Appl., 36:3 (2015), 1263  crossref
    20. I. I. Strukova, “O garmonicheskom analize periodicheskikh na beskonechnosti funktsii”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 14:1 (2014), 28–38  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
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