Characterization of nuclearity for Beurling–Björck spaces

DOI10.1090/proc/15227zbMath1477.46028arXiv1908.10886OpenAlexW3099582710MaRDI QIDQ5130861

Andreas Debrouwere, Jasson Vindas, Lenny Neyt

Publication date: 29 October 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.10886

zbMATH Keywords

ultradifferentiable functionsGelfand-Shilov spacesshort-time Fourier transformnuclear spacestime-frequency analysis methods in functional analysisBeurling-Björck spaces

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Topological linear spaces of continuous, differentiable or analytic functions (46E10) 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 (5)

Kernel theorems for Beurling-Björck type spaces ⋮ Unnamed Item ⋮ The nuclearity of Gelfand-Shilov spaces and kernel theorems ⋮ Convolutors on \(\mathcal{S}_{\omega}(\mathbb{R}^N)\) ⋮ Global wave front sets in ultradifferentiable classes

Cites Work

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