Localization of Fréchet Frames and Expansion of Generalized Functions-Reference-Cited by-同舟云学术

Localization of Fréchet Frames and Expansion of Generalized Functions

Published:2021-02-23 Issue:5 Volume:44 Page:2919-2941
ISSN:0126-6705
Container-title:Bulletin of the Malaysian Mathematical Sciences Society
language:en
Short-container-title:Bull. Malays. Math. Sci. Soc.

Author:

Pilipović Stevan,Stoeva Diana T.^ORCID

Abstract

AbstractMatrix-type operators with the off-diagonal decay of polynomial or sub-exponential types are revisited with weaker assumptions concerning row or column estimates, still giving the continuity results for the frame type operators. Such results are extended from Banach to Fréchet spaces. Moreover, the localization of Fréchet frames is used for the frame expansions of tempered distributions and a class of Beurling ultradistributions.

Funder

Vienna Science and Technology Fund

Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja

OeAD-GmbH

Austrian Science Fund

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40840-020-01070-y.pdf

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