Elliptic Operators and Lie Groups - Rilegato

Robinson, Derek W.

 
9780198535911: Elliptic Operators and Lie Groups
Rilegato
ISBN 10: 0198535910 ISBN 13: 9780198535911
Casa editrice: Clarendon Press, 1991

Sinossi

Elliptic operators arise naturally in several different mathematical settings, notably in the representation theory of Lie groups, the study of evolution equations, and the examination of Riemannian manifolds. This book develops the basic theory of elliptic operators on Lie groups and thereby extends the conventional theory of parabolic evolution equations to a natural non-commutative context.

In order to achieve this goal, the author presents a synthesis of ideas from partial differential equations, harmonic analysis, functional analysis, and the theory of Lie groups. He begins by discussing the abstract theory of general operators with complex coefficients before concentrating on the central case of second-order operators with real coefficients. A full discussion of second-order subellilptic operators is also given.

Prerequisites are a familiarity with basic semigroup theory, the elementary theory of Lie groups, and a firm grounding in functional analysis as might be gained from the first year of a graduate course.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Product Description

Elliptic operators arise naturally in several different mathematical settings, notably in the representation theory of Lie groups and in the study of evolution equations. The aim of this book is to develop the basic theory of elliptic operators on Lie groups and thereby to extend the conventional theory of parabolic evolution equations to a natural non-commutative context. The text presents a synthesis of ideas from partial differential equations, harmonic analysis, functional analysis and the theory of Lie groups. The author begins by presenting the abstract theory of general operators with complex co-efficients before concentrating on the case of second-order operators with real co-efficients. Prerequisites of this monograph are a familiarity with basic semi-group theory, the elementary theory of Lie groups, and a firm grounding in functional analysis, as might be gained from the first year of a graduate course.

Contenuti

Introduction; Elliptic operators; Analytic elements; Semigroup kernels; Second-order operators; Elliptic operators with variable coefficients; Appendices.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Clarendon Press
Data di pubblicazione
1991
Lingua
Inglese
ISBN 10 
0198535910
ISBN 13 
9780198535911
Rilegatura
Copertina rigida
Numero edizione
1
Numero di pagine
570
Contatto del produttore
non disponibile
Persona responsabile
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
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Germania