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

DOI10.1007/BF02878434zbMath1056.43004OpenAlexW2094378386MaRDI QIDQ1589771

R. Smith

Publication date: 10 May 2001

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02878434

zbMATH Keywords

Laguerre functionstwisted convolutionmultiplier

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Analysis on real and complex Lie groups (22E30) General harmonic expansions, frames (42C15) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Cites Work

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• Littlewood-Paley-Stein theory on \({\mathbb{C}}^ n\) and Weyl multipliers
• L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
• The Weyl transform and bounded operators on \(L^p(\mathbb{R}^n)\).
• A Hardy space associated with twisted convolution
• On spectral multipliers for Heisenberg and related groups
• Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II
• Convolution Operators on Groups and Multiplier Theorems for Hermite and Laguerre Expansions
• Harmonic Analysis in Phase Space. (AM-122)

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