Representing systems of exponentials in projective limits of weighted subspaces of $H(D)$

DOI10.1070/IM8728zbMath1417.30054OpenAlexW2906078412MaRDI QIDQ5742963

K. V. Trounov, K. P. Isaev, R. S. Yulmukhametov

Publication date: 8 May 2019

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8728

zbMATH Keywords

locally convex spacesweighted spaces of analytic functionsrepresenting systems of exponentials

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items

Unconditional bases in radial Hilbert spaces, Geometry of radial Hilbert spaces with unconditional bases of reproducing kernels

Cites Work

• Sufficient sets in weighted Fréchet spaces of entire functions
• Space of analytic functions with prescribed growth near the boundary
• Unconditional bases in weakly weighted spaces of entire functions
• SPACES OF ANALYTIC FUNCTIONS OF PRESCRIBED GROWTH NEAR THE BOUNDARY
• EXPONENTIAL SERIES IN SMIRNOV SPACES AND INTERPOLATION BY ENTIRE FUNCTIONS OF SPECIAL CLASSES
• Representing systems
• INTERPOLATION BY MEANS OF SPECIAL CLASSES OF ENTIRE FUNCTIONS AND RELATED EXPANSIONS IN SERIES OF EXPONENTIALS
• Representation of functions in locally convex subspaces of $A^\infty (D)$ by series of exponentials
• The absence of unconditional bases of exponentials in Bergman spaces on non-polygonal domains
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