Tensor products for Gelfand-Shilov and Pilipović distribution spaces

DOI10.1007/s41478-019-00205-0zbMath1450.46027arXiv1808.06427OpenAlexW2983854297MaRDI QIDQ779809

Joachim Toft

Publication date: 14 July 2020

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06427

zbMATH Keywords

Fourier transformultradistributionsBargmann transformFubini propertyGelfand tripple

Mathematics Subject Classification ID

Spaces of linear operators; topological tensor products; approximation properties (46A32) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Tensor products in functional analysis (46M05)

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An Excursion to Multiplications and Convolutions on Modulation Spaces, Kernel theorems for Beurling-Björck type spaces, Paley–Wiener properties for spaces of power series expansions, The Zak transform on Gelfand-Shilov and modulation spaces with applications to operator theory, Step multipliers, Fourier step multipliers and multiplications on quasi-Banach modulation spaces, Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type

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