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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.

Boekdetails

Serie
Lecture Notes in Mathematics
Ondertitel
Lecture Notes in Mathematics
Formaat
Paperback / softback
Uitgever
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Auteur
Hans Volkmer, Springer-Verlag Berlin and Heidelberg GmbH & Co. K, Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN-13
9783540504795
Verschijningsdatum
1988-12-07
Editie
1988 ed.
Afmetingen
155 mm × 235 mm
Land van herkomst
DE

Paperback / softback

Multiparameter Eigenvalue Problems and Expansion Theorems

door Hans Volkmer

€ 42,07
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