Relations between Hermite and Laguerre expansions of ultradistributions over \(\mathbb R^d\) and \(\mathbb R^d_+\)

DOI10.1007/S11868-016-0171-YzbMath1419.35264OpenAlexW2510670681MaRDI QIDQ1685340

Bojan Prangoski, Stevan Pilipović, Smiljana Jakšić, Snježana Maksimović

Publication date: 13 December 2017

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

Full work available at URL: https://doi.org/10.1007/s11868-016-0171-y

zbMATH Keywords

ultradistributionsGelfand-Shilov spacesstructural theoremmulti-dimensional Hermite and Laguerre expansions of ultradistributions

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (3)

Global regularity of Weyl pseudo-differential operators with radial symbols in each phase-space variable ⋮ Estimates of pseudo-differential operators associated with fractional Hankel transform on the space of type S ⋮ Norm estimates for the pseudo-differential operator involving fractional Hankel-like transform on \(\mathcal{S}\)-type spaces

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• Laplace transform in spaces of ultradistributions
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