Spectral Decompositions and Analytic Sheaves

Hardcover | May 1, 1990

byJorg Eschmeier, Mihai Putinar

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Rapid developments in multivariable spectral theory have led to important and fascinating results which also have applications in other mathematical disciplines. In this book, classical results from the cohomology theory of Banach algebras, multidimensional spectral theory, and complexanalytic geometry have been freshly interpreted using the language of homological algebra. It has also been used to give in sights into new developments in the spectral theory of linear operators. Various concepts from function theory and complex analytic geometry are drawn together and used togive a new approach to concrete spectral computations. The advantages of this approach are illustrated by a variety of examples, unexpected applications, and conceptually new ideas which should stimulate further research.

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From the Publisher

Rapid developments in multivariable spectral theory have led to important and fascinating results which also have applications in other mathematical disciplines. In this book, classical results from the cohomology theory of Banach algebras, multidimensional spectral theory, and complexanalytic geometry have been freshly interpreted usi...

J. Eschmeier is at University of Leeds. M. Putinar is at University of California at Riverside.
Format:HardcoverDimensions:372 pages, 9.21 × 6.14 × 0.98 inPublished:May 1, 1990Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198536674

ISBN - 13:9780198536673

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Table of Contents

Preface1. Review of spectral theory2. Analytic functional calculus via integral representations3. Topological homology4. Analytic sheaves5. Frechet modules over Stein algebras6. Bishop's condition ( ) and invariant subspaces7. Applications to function theory8. Spectral analysis on Bergmann spaces9. Finiteness theorems in analytic geometry10. Multidimensional index theoryAppendices:Locally convex spacesHomological algebraK-Theory and Riemann-Roch theoremsSobolev spacesReferences

Editorial Reviews

`The book presents an up to date picture.'Zentrallblat fur Mathematik, 1997