MULTIPLIERS OF LAPLACE TRANSFORM TYPE IN CERTAIN DUNKL AND LAGUERRE SETTINGS

DOI10.1017/S0004972711003078zbMath1241.42024arXiv1101.4139OpenAlexW2099669489MaRDI QIDQ5389482

Tomasz Zachary Szarek

Publication date: 20 April 2012

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4139

zbMATH Keywords

multiplierDunkl harmonic oscillatorLaguerre expansions of convolution typegeneralized Hermite expansions

Mathematics Subject Classification ID

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

Related Items (5)

On harmonic analysis operators in Laguerre-Dunkl and Laguerre-symmetrized settings ⋮ Characterization of UMD Banach spaces by imaginary powers of Hermite and Laguerre operators ⋮ Laplace type multipliers for Laguerre expansions of Hermite type ⋮ Harmonic analysis operators related to symmetrized Jacobi expansions ⋮ On fundamental harmonic analysis operators in certain Dunkl and Bessel settings

Cites Work

• Littlewood-Paley-Stein type square functions based on Laguerre semigroups
• Higher Riesz transforms and imaginary powers associated to the harmonic oscillator
• Riesz transforms for the dunkl harmonic oscillator
• On weighted transplantation and multipliers for Laguerre expansions
• Poisson integrals and Riesz transforms for Hermite function expansions with weights.
• Functional calculus for the Laguerre operator
• Riesz transforms for multi-dimensional Laguerre function expansions
• Multipliers of Laplace transform type for ultraspherical expansions
• Laplace Transform Type Multipliers for Hankel Transforms
• Spectral multipliers of Laplace transform type for the Laguerre operator
• Multipliers of Laplace transform type for Laguerre and Hermite expansions

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