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Limit Operators and Their Applications in Operator Theory
The book is devoted to a fairly wide class of operators, namely band and band-dominated operators and their Fredholm theory. The main tool in studying this topic is limit operators. Applications are presented to several important classes of such operators: convolution type operators and pseudo-differential operators on bad domains and with bad coefficients.
Preface -- 1. Limit Operators -- 2. Fredholmness of Band-dominated Operator -- 4. Convolution-type operators on R^N -- 4. Pseudodifferential Operators -- 5. Pseudodifference Operators -- 6. Finite Sections of Band-dominated Operators -- 7. Axiomatization of the Limit Operators Approach -- Bibliography -- Index.
by Vladimir Rabinovich, Bernd Silbermann, Steffen Roch.
Operator theory, advances and applications ; 150