Multiparameter Eigenvalue Problems and Expansion Theorems

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Multiparameter Eigenvalue Problems and Expansion Theorems is written by Hans Volkmer and published by Springer. It's available with International Standard Book Number or ISBN identification 3540460152 (ISBN 10) and 9783540460152 (ISBN 13).

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.