Exotic multiplicity functions and heat maximal operators in certain Dunkl settings

DOI10.1080/10652469.2018.1498488zbMath1397.42017OpenAlexW2887188747WikidataQ129410833 ScholiaQ129410833MaRDI QIDQ5375941

Adam Nowak, Edgar Labarga, Alberto Arenas

Publication date: 17 September 2018

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2018.1498488

zbMATH Keywords

Dunkl harmonic oscillatorDunkl transformDunkl Laplacianmultiplicity functionheat semigroup maximal operatorDunkl Ornstein-Uhlenbeck operator

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Nontrigonometric harmonic analysis (42C99)

Related Items

Mapping properties of fundamental harmonic analysis operators in the exotic Bessel framework ⋮ Harmonic analysis associated with the Jacobi-Dunkl operator on \((-\pi, \pi)\): exotic cases ⋮ Spectral properties of ordinary differential operators admitting special decompositions

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