A symmetrized conjugacy scheme for orthogonal expansions

DOI10.1017/S0308210511000217zbMath1275.42042arXiv1009.1767OpenAlexW2963024876MaRDI QIDQ2837117

Adam Nowak, Krzystztof Stempak

Publication date: 10 July 2013

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.1767

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (14)

Riesz-Jacobi transforms as principal value integrals ⋮ On harmonic analysis operators in Laguerre-Dunkl and Laguerre-symmetrized settings ⋮ Harmonic analysis operators related to symmetrized Jacobi expansions for all admissible parameters ⋮ Sharp Hardy's inequality for Jacobi and symmetrized Jacobi trigonometric expansions ⋮ Lusin area integrals related to Jacobi expansions ⋮ Spectral properties of differential-difference symmetrized operators ⋮ Dimension-free \(L^p\) estimates for vectors of Riesz transforms associated with orthogonal expansions ⋮ Sobolev spaces associated with Jacobi expansions ⋮ Harmonic analysis associated with the Jacobi-Dunkl operator on \((-\pi, \pi)\): exotic cases ⋮ Transference of \(L_p\) bounds between symmetrized Jacobi expansions and Dunkl transform ⋮ Harmonic analysis operators related to symmetrized Jacobi expansions ⋮ On fundamental harmonic analysis operators in certain Dunkl and Bessel settings ⋮ $L^p $ boundedness of Riesz transforms for orthogonal polynomials in a general context ⋮ On derivatives, Riesz transforms and Sobolev spaces for Fourier-Bessel expansions

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