Convolution Operators on Groups and Multiplier Theorems for Hermite and Laguerre Expansions

DOI10.2307/2047335zbMath0648.43004OpenAlexW4233431199MaRDI QIDQ3793164

Jolanta Długosz

Publication date: 1988

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

Full work available at URL: https://doi.org/10.2307/2047335

zbMATH Keywords

Laguerre functionsnilpotent Lie groupsHermite expansionsmultiplier theoremsRockland operators

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Analysis on other specific Lie groups (43A80) General properties and structure of other Lie groups (22E20)

Related Items (1)

Multiplier theorems for special Hermite expansions on \(\mathbb{C}^n\).

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