Lecture Notes in Mathematics

Volkmer, Hans

This book provides a self-contained treatment of two of the main problems of multiparameter spectral theory: the existence of eigenvalues and the expansion in series of eigenfunctions. The results are first obtained in abstract Hilbert spaces and then applied to integral operators and differential operators. Special attention is paid to various definiteness conditions which can be imposed on multiparameter eigenvalue problems. The reader is not assumed to be familiar with multiparameter spectral theory but should have some knowledge of functional analysis, in particular of Brower's degree of maps.

Details

Published by: Springer

Publication Date: 1988-12-07

Format: Paperback

ISBN-13: 9783540504795

DOI: 10.1007/BFb0089295

Dimensions: 235cm x155cm

Pages: 162