Multiparameter Eigenvalue Problems and Expansion Theorems / by Hans Volkmer.

Format:

Book

Author/Creator:

Volkmer, Hans, 1953- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1356.

Lecture Notes in Mathematics, 0075-8434 ; 1356

Language:

English

Subjects (All):

Global analysis (Mathematics).

Analysis.

Local Subjects:

Analysis.

Physical Description:

1 online resource (VI, 162 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1988.

System Details:

text file PDF

Summary:

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.

Contents:

Multiparameter eigenvalue problems for hermitian matrices

Multiparameter eigenvalue problems for bounded operators

Multiparameter eigenvalue problems for unbounded operators

Multiparameter expansion theorems for hermitian matrices

Multiparameter expansion theorems for bounded operators

Multiparameter expansion theorems for unbounded operators.

Other Format:

Printed edition:

ISBN:

9783540460152

Access Restriction:

Restricted for use by site license.