Spectral theory of linear differential operators and comparison algebras

The main aim of this book is to introduce the reader to the concept of comparison algebra, defined as a type of C*-algebra of singular integral operators. The first part of the book develops the necessary elements of the spectral theory of differential operators as well as the basic properties of el...

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Bibliographische Detailangaben
1. Verfasser: Cordes, H. O. 1925-
Format: E-Book
Sprache:English
Veröffentlicht: Cambridge Cambridge University Press 1987
Schriftenreihe:London Mathematical Society lecture note series 76
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:The main aim of this book is to introduce the reader to the concept of comparison algebra, defined as a type of C*-algebra of singular integral operators. The first part of the book develops the necessary elements of the spectral theory of differential operators as well as the basic properties of elliptic second order differential operators. The author then introduces comparison algebras and describes their theory in L2-spaces and L2-Soboler spaces, and in particular their importance in solving functional analytic problems involving differential operators. The book is based on lectures given in Sweden and the USA.
Beschreibung:1 Online-Ressource (ix, 342 Seiten)
ISBN:9780511662836
DOI:10.1017/CBO9780511662836