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یکشنبه 20 شهریور 1390

Multiparameter Eigenvalue Problems And Expansion Theorems

نویسنده: Braxton Roman   

Multiparameter Eigenvalue Problems And Expansion Theorems




Author: A. Dold, B. Eckmann, Hans Volkmer
Type: eBook
Date Released: 1989
Format: djvu
Language: English
Page Count: 168
Isbn10 Code: 0387504796
Isbn13 Code: 9780387504797


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. --This text refers to an alternate edition.

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