Localization of Fréchet Frames and Expansion of Generalized Functions

Matrix-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...

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Autores principales: Pilipović, Stevan, Stoeva, Diana T.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Singapore 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8591703/
https://www.ncbi.nlm.nih.gov/pubmed/34803194
http://dx.doi.org/10.1007/s40840-020-01070-y
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author Pilipović, Stevan
Stoeva, Diana T.
author_facet Pilipović, Stevan
Stoeva, Diana T.
author_sort Pilipović, Stevan
collection PubMed
description Matrix-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.
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spelling pubmed-85917032021-11-19 Localization of Fréchet Frames and Expansion of Generalized Functions Pilipović, Stevan Stoeva, Diana T. Bull Malays Math Sci Soc Article Matrix-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. Springer Singapore 2021-02-23 2021 /pmc/articles/PMC8591703/ /pubmed/34803194 http://dx.doi.org/10.1007/s40840-020-01070-y Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Pilipović, Stevan
Stoeva, Diana T.
Localization of Fréchet Frames and Expansion of Generalized Functions
title Localization of Fréchet Frames and Expansion of Generalized Functions
title_full Localization of Fréchet Frames and Expansion of Generalized Functions
title_fullStr Localization of Fréchet Frames and Expansion of Generalized Functions
title_full_unstemmed Localization of Fréchet Frames and Expansion of Generalized Functions
title_short Localization of Fréchet Frames and Expansion of Generalized Functions
title_sort localization of fréchet frames and expansion of generalized functions
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8591703/
https://www.ncbi.nlm.nih.gov/pubmed/34803194
http://dx.doi.org/10.1007/s40840-020-01070-y
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