Spectral Theory of Linear Differential Operators and Comparison Algebras PDF Download

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Spectral Theory of Linear Differential Operators and Comparison Algebras

Spectral Theory of Linear Differential Operators and Comparison Algebras PDF Author: Heinz Otto Cordes
Publisher: Cambridge University Press
ISBN: 0521284430
Category : Mathematics
Languages : en
Pages : 357

Book Description
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.