Local uniform convergence of the eigenfunction expansion associated with the Laplace operator. I

DOI10.1007/BF01873966zbMath0821.35105MaRDI QIDQ1320463

Miklós Horváth

Publication date: 9 June 1994

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

zbMATH Keywords

Riesz basisLiouville classBessel-Macdonald kernel

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (3)

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. II

Cites Work

• Exact estimate for the spectral function of the singular Schrödinger operator
• On the convergence of eigenfunction expansions
• Periodic Sigma Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Local uniform convergence of the eigenfunction expansion associated with the Laplace operator. I