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Sequence space representations for spaces of smooth functions and distributions via Wilson bases - MaRDI portal

Sequence space representations for spaces of smooth functions and distributions via Wilson bases (Q5086931)

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scientific article; zbMATH DE number 7554394

Language	Label	Description	Also known as
English	Sequence space representations for spaces of smooth functions and distributions via Wilson bases	scientific article; zbMATH DE number 7554394

Statements

scholarly article

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Sequence space representations for spaces of smooth functions and distributions via Wilson bases (English)

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Christian Bargetz

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Andreas Debrouwere

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Eduard Albert Nigsch

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Proceedings of the American Mathematical Society

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publication date

8 July 2022

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full work available at URL

https://arxiv.org/abs/2107.00245

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zbMATH Keywords

test function spaces

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distribution spaces

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sequence space representations

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Wilson bases

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MaRDI profile type

MaRDI publication profile

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Characterization of L. Schwartz' convolutor and multiplier spaces \(\mathcal O'_C\) and \(\mathcal O_M\) by the short-time Fourier transform

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A sequence space representation of L. Schwartz' space \({{\mathcal{O}_{C}}}\)

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Commutativity of the Valdivia-Vogt table of representations of function spaces

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Completing the Valdivia-Vogt tables of sequence-space representations of spaces of smooth functions and distributions

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Explicit representations of spaces of smooth functions and distributions

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Anisotropic Shubin operators and eigenfunction expansions in Gelfand-Shilov spaces

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A Simple Wilson Orthonormal Basis with Exponential Decay

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Sequence space representations for spaces of entire functions with rapid decay on strips

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Topological properties of convolutor spaces via the short-time Fourier transform

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Spaces of test functions via the STFT

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Foundations of time-frequency analysis

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Produits tensoriels topologiques et espaces nucléaires

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The short-time Fourier transform of distributions of exponential type and tauberian theorems for shift-asymptotics

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Bases in spaces of analytic germs

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On the diametral dimension of weighted spaces of analytic germs

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Explicit representations of L. Schwartz' spaces \(\mathcal D_{L^p}\) and \(\mathcal D^\prime_{L^p}\) by the sequence spaces \(s\hat\otimes l^p\) and \(s^\prime\hat\otimes l^p\), respectively, for \(1<p<\infty\)

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A representation of the space (K).

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A representation of the space \(O_ M\).

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1090/PROC/15895

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Sitelinks

Mathematics(1 entry)

mardi Publication:5086931

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