Spectral Analysis of Differential Operators

Kholkin Aleksandr M. Rofe-Beketov Fedor S.

ISBN 10: 9812562761 / ISBN 13: 9789812562760

Editore: World Scientific Publishing Company, Incorporated, 2005

pp. xxiii + 438. Codice articolo 18481520

Riassunto:

This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory. It aims to study a theory of self-adjoint problems for such systems, based on an elegant method of binary relations. Another topic investigated in the book is the behavior of discrete eigenvalues which appear in spectral gaps of the Hill operator and almost periodic Schrödinger operators due to local perturbations of the potential (e.g., modeling impurities in crystals).The book is based on results that have not been presented in other monographs. The only prerequisites needed to read it are basics of ordinary differential equations and operator theory. It should be accessible to graduate students, though its main topics are of interest to research mathematicians working in functional analysis, differential equations and mathematical physics, as well as to physicists interested in spectral theory of differential operators.

Product Description: Book by Fedor Rofebeketov

Dati bibliografici

Titolo: Spectral Analysis of Differential Operators
Casa editrice: World Scientific Publishing Company, Incorporated
Data di pubblicazione: 2005
Legatura: Rilegato
Condizione: New