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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Detalles Bibliográficos
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
Descripción
Sumario: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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