Expansion of continuous functions from Sobolev classes in eigenfunctions of the Laplace operator

DOI10.1007/BF00967721zbMath0409.47029MaRDI QIDQ1258973

K. Appert

Publication date: 1979

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Sobolev ClassesLaplace OperatorExpansion in Eigenfunctions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) General theory of ordinary differential operators (47E05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (1)

On summability of \(N\)-fold Fourier integrals corresponding to pseudodifferential operators

Cites Work

• Unnamed Item
• Unnamed Item

This page was built for publication: Expansion of continuous functions from Sobolev classes in eigenfunctions of the Laplace operator