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Multiparameter Eigenvalue Problems and Expansion Theorems

Multiparameter Eigenvalue Problems and Expansion Theorems

Paperback

Series: Lecture Notes in Mathematics, Book 1356

General Mathematics

ISBN10: 3540504796
ISBN13: 9783540504795
Publisher: Springer Nature
Published: Dec 7 1988
Pages: 162
Weight: 0.55
Height: 0.37 Width: 6.14 Depth: 9.21
Language: English
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.

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General Mathematics