Nuclearity of rapidly decreasing ultradifferentiable functions and time-frequency analysis

DOI10.1007/s13348-020-00296-0zbMath1472.46044arXiv1906.05171OpenAlexW3038957061MaRDI QIDQ2044165

Gerhard Schindl, Alessandro Oliaro, Chiara Boiti, David Jornet

Publication date: 4 August 2021

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.05171

zbMATH Keywords

Gabor framestime-frequency analysisnuclear spacesweighted spaces of ultradifferentiable functions of Beurling type

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (8)

Kernel theorems for Beurling-Björck type spaces ⋮ Compactness of localization operators on modulation spaces of \(\omega\)-tempered distributions ⋮ Characterization of nuclearity for Beurling–Björck spaces ⋮ Unnamed Item ⋮ Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting ⋮ Multipliers on \(\mathcal{S}_{\omega } (\mathbb{R}^N)\) ⋮ Convolutors on \(\mathcal{S}_{\omega}(\mathbb{R}^N)\) ⋮ Global wave front sets in ultradifferentiable classes

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