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Mathematics of the USSR-Izvestiya, 1975, Volume 9, Issue 3, Pages 621–662
DOI: https://doi.org/10.1070/IM1975v009n03ABEH001493
(Mi im2045)
 

This article is cited in 62 scientific papers (total in 63 papers)

Interpolation by means of special classes of entire functions and related expansions in series of exponentials

B. Ya. Levin, Yu. I. Lyubarskii
References:
Abstract: In this paper, we study the problems of interpolation by means of entire functions of exponential type which satisfy special restrictions on their growth, and the relationship of these problems to Dirichlet series expansions in an arbitrary convex polygon of functions from a Smirnov space.
Bibliography: 26 items.
Received: 27.12.1973
Bibliographic databases:
UDC: 517.5
MSC: Primary 30A80, 30A16; Secondary 30A64, 46E15
Language: English
Original paper language: Russian
Citation: B. Ya. Levin, Yu. I. Lyubarskii, “Interpolation by means of special classes of entire functions and related expansions in series of exponentials”, Math. USSR-Izv., 9:3 (1975), 621–662
Citation in format AMSBIB
\Bibitem{LevLyu75}
\by B.~Ya.~Levin, Yu.~I.~Lyubarskii
\paper Interpolation by means of special classes of entire functions and related expansions in series of exponentials
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 3
\pages 621--662
\mathnet{http://mi.mathnet.ru/eng/im2045}
\crossref{https://doi.org/10.1070/IM1975v009n03ABEH001493}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=454019}
\zmath{https://zbmath.org/?q=an:0324.30046}
Linking options:
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  • https://doi.org/10.1070/IM1975v009n03ABEH001493
  • https://www.mathnet.ru/eng/im/v39/i3/p657
  • This publication is cited in the following 63 articles:
    1. K. P. Isaev, R. S. Yulmukhametov, “On a Scale of Banach Spaces of Analytic Functions on a Convex Domain”, Lobachevskii J Math, 45:6 (2024), 2688  crossref
    2. K. P. Isaev, R. S. Yulmukhametov, “Borel transforms of functions in parametrized family of Hilbert spaces”, Ufa Math. J., 16:4 (2024), 21–39  mathnet  crossref
    3. K. P. Isaev, A. V. Lutsenko, R. S. Yulmukhametov, “Entire Functions of Sine Type for Convex Apeirogons”, Lobachevskii J Math, 44:5 (2023), 1847  crossref
    4. Kh. Voitovych, “ON THE DECOMPOSITION PROBLEM FOR FUNCTIONS OF SMALL EXPONENTIAL TYPE”, BMJ, 11:1 (2023), 52  crossref
    5. Anastasia Chernyshenko, Vyacheslav Pivovarchik, “On Three Spectra Problem and Ambarzumian's Theorem”, Mediterr. J. Math., 20:3 (2023)  crossref
    6. K. P. Isaev, R. S. Yulmukhametov, “Unconditional bases in radial Hilbert spaces”, Izv. Math., 86:1 (2022), 150–168  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    7. S. A. Buterin, “On the Uniform Stability of Recovering Sine-Type Functions with Asymptotically Separated Zeros”, Math. Notes, 111:3 (2022), 343–355  mathnet  crossref  crossref  mathscinet
    8. V. V. Napalkov (ml.), A. A. Nuyatov, “Ob odnom uslovii sovpadeniya prostranstv preobrazovanii funktsionalov gilbertova prostranstva”, Tr. IMM UrO RAN, 28, no. 3, 2022, 142–154  mathnet  crossref  elib
    9. R. A. Bashmakov, K. P. Isaev, A. A. Makhota, “Exponential series in normed spaces of analytic functions”, Ufa Math. J., 13:3 (2021), 27–35  mathnet  crossref  isi
    10. Natalia P. Bondarenko, “A partial inverse Sturm‐Liouville problem on an arbitrary graph”, Math Methods in App Sciences, 44:8 (2021), 6896  crossref
    11. Sergey Buterin, Yi-Teng Hu, “Inverse spectral problems for Hill-type operators with frozen argument”, Anal.Math.Phys., 11:2 (2021)  crossref
    12. Volodymyr Dilnyi, “Solvability Criterion for Convolution Equations on a Half-Strip”, Complex Anal. Oper. Theory, 15:4 (2021)  crossref
    13. K. P. Isaev, R. S. Yulmukhametov, “Geometry of radial Hilbert spaces with unconditional bases of reproducing kernels”, Ufa Math. J., 12:4 (2020), 55–63  mathnet  crossref  isi
    14. K. P. Isaev, R. S. Yulmukhametov, “Bezuslovnye bazisy v radialnykh gilbertovykh prostranstvakh”, Vladikavk. matem. zhurn., 22:3 (2020), 85–99  mathnet  crossref
    15. K. P. Isaev, K. V. Trunov, R. S. Yulmukhametov, “Equivalent Norms in Hilbert Spaces with Unconditional Bases of Reproducing Kernels”, J Math Sci, 250:2 (2020), 310  crossref
    16. Natalia P. Bondarenko, Chung-Tsun Shieh, “Partial inverse problems for quadratic differential pencils on a graph with a loop”, Journal of Inverse and Ill-posed Problems, 28:3 (2020), 449  crossref
    17. Sheng-Yu Guan, Chuan-Fu Yang, Natalia Bondarenko, Xiao-Chuan Xu, Yi-Teng Hu, “On the Hochstadt–Lieberman type problem with eigenparameter dependent boundary condition”, Journal of Inverse and Ill-posed Problems, 28:4 (2020), 557  crossref
    18. Natalia P. Bondarenko, “A partial inverse problem for the Dirac system with an integral delay”, Inverse Problems in Science and Engineering, 28:4 (2020), 513  crossref
    19. Chuan-Fu Yang, Vjacheslav Yurko, Ran Zhang, “On the Hochstadt–Lieberman problem for the Dirac operator with discontinuity”, Journal of Inverse and Ill-posed Problems, 28:6 (2020), 849  crossref
    20. K. P. Isaev, “Representing systems of exponentials in projective limits of weigth subspaces of A(D)”, Russian Math. (Iz. VUZ), 63:1 (2019), 24–34  mathnet  crossref  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    References:105
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