Multipliers for the Weyl transform and Laguerre expansions

DOI10.1007/BF02881109zbMath0734.42009OpenAlexW2049383415MaRDI QIDQ810801

Sundaram Thangavelu

Publication date: 1990

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02881109

zbMATH Keywords

Laguerre functionssummabilitytwisted convolutionHermite operatorLaguerre expansionsoscillatory singular integralWeyl transformmultiplier operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Multipliers for harmonic analysis in several variables (42B15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (1)

Weyl multipliers, Bochner-Riesz means and special Hermite expansions

Cites Work

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• Weak type endpoint bounds for Bochner-Riesz multipliers
• Mean Cesaro summability of Laguerre expansions and norm estimates with shifted parameter
• Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
• The Weyl transform and bounded operators on \(L^p(\mathbb{R}^n)\).
• Mean Convergence of Expansions in Laguerre and Hermite Series
• Mean Summability for Ultraspherical Polynomials.

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