TY  - BOOK
AU  - Volkmer,Hans
ED  - SpringerLink (Online service)
TI  - Multiparameter Eigenvalue Problems and Expansion Theorems
T2  - Lecture Notes in Mathematics,
SN  - 9783540460152
AV  - QA299.6-433 
U1  - 515 23
PY  - 1988///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Global analysis (Mathematics)
KW  - Analysis
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0089295
ER  -