The convergence of multidimensional Fourier-Bessel series
type: Item
instance of: scholarly article
title: The convergence of multidimensional Fourier-Bessel series
zbMATH Open document ID: 0928.42007
DOI: 10.1007/BF02791263
published in: Journal d'Analyse Mathématique
publication date: 2000-01-09T00:00:00Z
review text: The Dirichlet problem for the unit ball in the \(d\)-dimensional space is considered in \(L^p_{\text{rad}}(L^2_{\text{ang}})\). For \(2d/(d+ 1)< p< 2d/(d- 1)\) a convergence result for eigenfunction expansions is obtained. There is some connection with the spherical summation of trigonometric expansions. Tools are van der Corput estimates for decompositions of oscillatory integrals, and inequalities for weighted singular integrals.
reviewed by: Detlef Laugwitz
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1309906
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: convergence
zbMATH Keywords: eigenfunction expansions
author: Pedro Balodis
author: Antonio Córdoba
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1309906