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.
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
\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:
https://www.mathnet.ru/eng/im2045
https://doi.org/10.1070/IM1975v009n03ABEH001493
https://www.mathnet.ru/eng/im/v39/i3/p657
This publication is cited in the following 63 articles:
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
K. P. Isaev, R. S. Yulmukhametov, “Borel transforms of functions in parametrized family of Hilbert spaces”, Ufa Math. J., 16:4 (2024), 21–39
K. P. Isaev, A. V. Lutsenko, R. S. Yulmukhametov, “Entire Functions of Sine Type for Convex Apeirogons”, Lobachevskii J Math, 44:5 (2023), 1847
Kh. Voitovych, “ON THE DECOMPOSITION PROBLEM FOR FUNCTIONS OF SMALL EXPONENTIAL TYPE”, BMJ, 11:1 (2023), 52
Anastasia Chernyshenko, Vyacheslav Pivovarchik, “On Three Spectra Problem and Ambarzumian's Theorem”, Mediterr. J. Math., 20:3 (2023)
K. P. Isaev, R. S. Yulmukhametov, “Unconditional bases in radial Hilbert spaces”, Izv. Math., 86:1 (2022), 150–168
S. A. Buterin, “On the Uniform Stability of Recovering Sine-Type Functions with Asymptotically Separated Zeros”, Math. Notes, 111:3 (2022), 343–355
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
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
Natalia P. Bondarenko, “A partial inverse Sturm‐Liouville problem on an arbitrary graph”, Math Methods in App Sciences, 44:8 (2021), 6896
Sergey Buterin, Yi-Teng Hu, “Inverse spectral problems for Hill-type operators with frozen argument”, Anal.Math.Phys., 11:2 (2021)
Volodymyr Dilnyi, “Solvability Criterion for Convolution Equations on a Half-Strip”, Complex Anal. Oper. Theory, 15:4 (2021)
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
K. P. Isaev, R. S. Yulmukhametov, “Bezuslovnye bazisy v radialnykh gilbertovykh prostranstvakh”, Vladikavk. matem. zhurn., 22:3 (2020), 85–99
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
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
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
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
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
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