Abel means for orthogonal expansions of distributions on spheres, balls and simplices

DOI10.1016/J.JMAA.2015.08.006zbMath1336.46035OpenAlexW1074268786MaRDI QIDQ497767

Francisco Javier González Vieli

Publication date: 25 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.08.006

zbMATH Keywords

distributionsimplexsupportorthogonal expansionAbel means

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (1)

Ultradistributional boundary values of harmonic functions on the sphere

Cites Work

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• Distributional boundary values of harmonic and analytic functions
• Maximal estimates for the Cesàro means of weighted orthogonal polynomial expansions on the unit sphere
• Distributional point values and convergence of Fourier series and integrals
• Harmonic Function Theory
• Orthogonal polynomials and summability in Fourier orthogonal series on spheres and on balls
• FOURIER INVERSION OF DISTRIBUTIONS ON THE SPHERE
• Pointwise convergence of distribution expansions
• On the support of tempered distributions
• Orthogonal polynomials and cubature formulae on balls, simplices, and spheres

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