On unconditional bases of exponentials in weighted spaces on an interval of the real axis

DOI10.1090/SPMJ/1467zbMath1372.30003OpenAlexW2737396997MaRDI QIDQ5348752

A. A. Yunusov, R. S. Yulmukhametov, K. P. Isaev

Publication date: 21 August 2017

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1467

zbMATH Keywords

Hilbert spaceentire functionsunconditional basisseries of exponentials

Mathematics Subject Classification ID

Dirichlet series, exponential series and other series in one complex variable (30B50)

Cites Work

• Generalization of the Paley-Wiener theorem in weighted spaces
• Sampling and interpolation in large Bergman and Fock spaces
• Asymptotic approximation of subharmonic functions
• Asymptotic behavior of Laplace integrals and geometric characteristics of convex functions
• Entire functions of sine type and their applications
• Riesz bases of reproducing kernels in Fock-type spaces
• EXPONENTIAL SERIES IN SMIRNOV SPACES AND INTERPOLATION BY ENTIRE FUNCTIONS OF SPECIAL CLASSES
• Density theorems for sampling and interpolation in the Bargmann-Fock space I.
• INTERPOLATION BY MEANS OF SPECIAL CLASSES OF ENTIRE FUNCTIONS AND RELATED EXPANSIONS IN SERIES OF EXPONENTIALS
• The absence of unconditional bases of exponentials in Bergman spaces on non-polygonal domains
• Theory of Reproducing Kernels
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