Remarks on the \(L^p\) convergence of Bessel-Fourier series on the disc

DOI10.5802/crmath.464zbMath1525.42004arXiv2202.06119OpenAlexW4387905851MaRDI QIDQ6057768

Ryan Luis Acosta Babb

Publication date: 26 October 2023

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.06119

zbMATH Keywords

convergenceDirichlet problemeigenfunction expansions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

• The disc multiplier
• The convergence of multidimensional Fourier-Bessel series
• The multiplier problem for the ball
• Classical Fourier Analysis
• Modern Fourier Analysis
• The Mean Convergence of Orthogonal Series
• Simultaneous approximation in Lebesgue and Sobolev norms via eigenspaces
• TheL^pconvergence of Fourier series on triangular domains
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