Hermite expansions of some tempered distributions

DOI10.1007/s11868-017-0211-2zbMath1398.46034arXiv1702.07067OpenAlexW2611667670MaRDI QIDQ1742071

Takumi Koshikawa, Hiroyuki Chihara, Takashi Furuya

Publication date: 11 April 2018

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07067

zbMATH Keywords

tempered distributionHermite expansionBargmann transform

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (1)

On eigenmeasures under Fourier transform

Cites Work

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• Bounded Berezin-Toeplitz operators on the Segal-Bargmann space
• Weyl transforms
• Bargmann-type transforms and modified harmonic oscillators
• The Hermite function expansions of the Heaviside function
• Harmonic Analysis in Phase Space. (AM-122)
• Distributions and Their Hermite Expansions

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