On harmonic analysis operators in Laguerre-Dunkl and Laguerre-symmetrized settings
DOI10.3842/SIGMA.2016.096zbMath1356.42028arXiv1602.05369OpenAlexW2280834939MaRDI QIDQ318954
Adam Nowak, Krzystztof Stempak, Tomasz Zachary Szarek
Publication date: 6 October 2016
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.05369
area integralmaximal operatorspectral multiplierheat semigroupPoisson semigroupRiesz transformDunkl harmonic oscillator\(g\)-functionBessel harmonic oscillatorCalderón-Zygmund operatorgeneralized Hermite functionsLaguerre expansions of convolution typeLaguerre-Dunkl expansionsLaguerre-symmetrized expansionsnegative multiplicity function
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Nontrigonometric harmonic analysis (42C99) Other transformations of harmonic type (42C20)
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