Abstract:
This paper studies problems of the Dirichlet series expansions of elements of Smirnov spaces in convex domains, and related theorems on interpolation by entire functions of exponential type.
Bibliography: 22 titles.
Citation:
Yu. I. Lyubarskii, “Exponential series in Smirnov spaces and interpolation by entire functions of special classes”, Math. USSR-Izv., 32:3 (1989), 563–586
\Bibitem{Lyu88}
\by Yu.~I.~Lyubarskii
\paper Exponential series in Smirnov spaces and interpolation by entire functions of special classes
\jour Math. USSR-Izv.
\yr 1989
\vol 32
\issue 3
\pages 563--586
\mathnet{http://mi.mathnet.ru/eng/im1194}
\crossref{https://doi.org/10.1070/IM1989v032n03ABEH000781}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=954297}
\zmath{https://zbmath.org/?q=an:0671.30005|0659.30006}
Linking options:
https://www.mathnet.ru/eng/im1194
https://doi.org/10.1070/IM1989v032n03ABEH000781
https://www.mathnet.ru/eng/im/v52/i3/p559
This publication is cited in the following 19 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
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
K. P. Isaev, “Representing systems of exponentials in projective limits of weigth subspaces of $A^\infty (D)$”, Russian Math. (Iz. VUZ), 63:1 (2019), 24–34
K. P. Isaev, K. V. Trounov, R. S. Yulmukhametov, “Representing systems of exponentials in projective limits of weighted subspaces of $H(D)$”, Izv. Math., 83:2 (2019), 232–250
K. P. Isaev, “Representing exponential systems in spaces of analytical functions”, J. Math. Sci. (N. Y.), 257:2 (2021), 143–205
K. P. Isaev, K. V. Trounov, R. S. Yulmukhametov, “Representation of functions by series of exponents in normed subspaces of $A^\infty(D)$”, J. Math. Sci. (N. Y.), 257:3 (2021), 313–328
Isaev K.P. Trounov K.V. Yulmukhametov R.S., “on Representation of Functions From Normed Subspaces of H(D) By Series of Exponentials”, Anal. Math. Phys., 9:3 (2019), 1043–1067
Isaev K.P., “On unconditional exponential bases in weighted spaces on interval of real axis”, Lobachevskii J. Math., 38:1 (2017), 48–61
K. P. Isaev, A. V. Lutsenko, R. S. Yulmukhametov, “On unconditional exponential bases in weak weighted spaces on segment”, Ufa Math. J., 8:4 (2016), 88–97
K. P. Isaev, R. S. Yulmukhametov, A. A. Yunusov, “On unconditional exponential bases in weighted spaces on interval of real axis”, St. Petersburg Math. J., 28:5 (2017), 689–706
A. A. Yunusov, “On unconditional exponential bases in weighted spaces on real axis”, Ufa Math. J., 7:3 (2015), 108–118
K. P. Isaev, R. S. Yulmukhametov, “Unconditional exponential bases in Hilbert spaces”, Ufa Math. J., 3:1 (2011), 3–15
V. V. Napalkov (Jr.), “On orthosimilar systems in a space of analytical functions and the problem of describing the dual space”, Ufa Math. J., 3:1 (2011), 30–41
V. V. Napalkov (ml.), “Ob ekvivalentnoi integralnoi norme v sopryazhennom prostranstve”, Ufimsk. matem. zhurn., 3:4 (2011), 122–132
K. P. Isaev, “Bazisy Rissa iz eksponent v prostranstvakh Bergmana na vypuklykh mnogougolnikakh”, Ufimsk. matem. zhurn., 2:1 (2010), 71–86
K. P. Isaev, R. S. Yulmukhametov, “The absence of unconditional bases of exponentials in Bergman spaces on non-polygonal domains”, Izv. Math., 71:6 (2007), 1145–1166
K. P. Isaev, R. S. Yulmukhametov, “Unconditional Exponential Bases in Bergman Spaces”, Proc. Steklov Inst. Math., 253 (2006), 78–89
Yurii I. Lyubarskii, Kristian Seip, “Convergence and summability of Gabor expansions at the Nyquist density”, The Journal of Fourier Analysis and Applications, 5:2-3 (1999), 127
J. Bonet, S.N. Melikhov, “Interpolation of Entire Functions and Projective Descriptions”, Journal of Mathematical Analysis and Applications, 205:2 (1997), 454
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