Multiparameter eigenvalue problems and expansion theorems
By: Hans Volkmer.
Series: Lecture notes in mathematics ;; 1356; Lecture notes in mathematics (Springer-Verlag) ;; 1356.
Publisher: Springer-Verlag
Published: 1988
Place of publication: Berlin; New York
Language: eng
Number of pages: 157
Subjects: Matrices.; Eigenvalues.
Description: 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.
Notes: Includes bibliographical references (p. [142]-153) and index.