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Asymptotic Expansions for Pseudodifferential Operators on Bounded Domains

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Author(s): Harold Widom (auth.)
Series: Lecture Notes in Mathematics 1152
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1985

Language: English
Pages: 150
Tags: Analysis

Introduction....Pages 1-15
Derivation of the series....Pages 16-35
The Szegö and heat expansions....Pages 36-41
f (k) (σ; τ i ) in the hermitian case....Pages 42-44
Trace formulas....Pages 45-64
Proof of the szegö expansion in the nonself-adjoint case....Pages 65-94
Proof of the Szeg ö expansion in the self-adjoint case....Pages 95-101
Proof of the heat expansion....Pages 102-147