Representing systems of exponentials in projective limits of weighted subspaces of \(A^\infty (D)\)

DOI10.3103/S1066369X19010031zbMath1439.30085OpenAlexW2951303442MaRDI QIDQ2287008

K. P. Isaev

Publication date: 23 January 2020

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

Full work available at URL: https://doi.org/10.3103/s1066369x19010031

zbMATH Keywords

convex domains in \(\mathbb C\)holomorphic functions which are \(C^\infty\) up to the boundary

Mathematics Subject Classification ID

Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (1)

On space of holomorphic functions with boundary smoothness and its dual

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimal absolutely representing systems of exponentials for \(A^{-\infty}(\varOmega)\)
• Absolutely representative exponent systems of minimal type in function spaces with given growth near the boundary
• Nontrivial expansions of zero absolutely representing systems
• QUASIANALYTIC CLASSES OF FUNCTIONS IN CONVEX DOMAINS
• APPROXIMATION OF SUBHARMONIC 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
• Approximation of subharmonic functions

This page was built for publication: Representing systems of exponentials in projective limits of weighted subspaces of \(A^\infty (D)\)