Multiparameter Eigenvalue Problems and Expansion Theorems / Edition 1

by Hans Volkmer

Overview

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.

Product Details

ISBN-13:	9783540504795
Publisher:	Springer Berlin Heidelberg
Publication date:	12/20/1988
Series:	Lecture Notes in Mathematics , #1356
Edition description:	1988
Pages:	162
Product dimensions:	6.10(w) x 9.25(h) x 0.01(d)

Table of 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.

Editorial Reviews

Assumes knowledge of usual one-parameter eigenvalue problems for compact Hermitian operators and their inverses. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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