On the convergence of eigenfunction expansions

DOI10.1007/BF00051765zbMath0807.35103MaRDI QIDQ1207361

István Joó

Publication date: 1 April 1993

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Laplace operatorFourier seriesconvergence theorems

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General theory of partial differential operators (47F05) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items

Local uniform convergence of the Riesz means of Laplace and Dirac expansions ⋮ Eigenfunction expansion for the three-dimensional Dirac operator ⋮ Local uniform convergence of the eigenfunction expansion associated with the Laplace operator. I ⋮ Local uniform convergence of the eigenfunction expansion associated with the Laplace operator. II

Cites Work

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• On the equiconvergence of eigenfunction expansions associated with ordinary linear differential operators
• Exact estimate for the spectral function of the singular Schrödinger operator