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On representation of functions from normed subspaces of H(D) by series of exponentials

On representation of functions from normed subspaces of H(D) by series of exponentials We consider uniformly weighted spaces of analytic functions in a convex domain of the complex plane. Functions from these spaces are represented in the form of series of exponentials converging in a weakened norm. The main tools in the construction of exponential systems are the entire functions with a given asymptotic behavior. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

On representation of functions from normed subspaces of H(D) by series of exponentials

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Publisher
Springer Journals
Copyright
Copyright © 2019 by Springer Nature Switzerland AG
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-019-00288-9
Publisher site
See Article on Publisher Site

Abstract

We consider uniformly weighted spaces of analytic functions in a convex domain of the complex plane. Functions from these spaces are represented in the form of series of exponentials converging in a weakened norm. The main tools in the construction of exponential systems are the entire functions with a given asymptotic behavior.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Mar 4, 2019

References