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Wilson Bases and Ultradistributions

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 28 Sep 2021Embargo end date: 01 Jan 2021 English Publisher:MDPI AGJournal:Axioms, volume 10, page 241 (eissn: 2075-1680, Copyright policy )Funded by:MESTD | Ministry of Education, Sc...
Authors: Teofanov, Nenad;

doi: 10.3390/axioms10040241 , 10.48550/arxiv.2109.00820

arXiv: 2109.00820

Wilson Bases and Ultradistributions

Abstract

We provide a characterization of the Gelfand–Shilov-type spaces of test functions and their dual spaces of tempered ultradistributions by means of Wilson bases of exponential decay. We offer two different proofs and extend known results to the Roumieu case.

Related Organizations
Keywords

coorbit spaces, Mathematics - Functional Analysis, Wilson bases, short-time Fourier transform, QA1-939, FOS: Mathematics, Gelfand–Shilov spaces, modulation spaces, 42C15, 46F05, 41A58, Mathematics, Functional Analysis (math.FA)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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