
Spectral Decompositions and Analytic Sheaves
Oxford University Press
Published on 9. May 1996
Book
Hardback
372 pages
978-0-19-853667-3 (ISBN)
Description
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 complex analytic 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 to give 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.
Reviews / Votes
The book presents an up to date picture. * Zentrallblat fur Mathematik, 1997 *More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Target group
Professional and scholarly
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 25 mm
Weight
728 gr
ISBN-13
978-0-19-853667-3 (9780198536673)
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Schweitzer Classification
Persons
Author
ProfessorProfessor, Universitat des Saarlandes, Germany
Associate Professor of MathematicsAssociate Professor of Mathematics, University of California at Riverside, USA
Content
Preface ; 1. Review of spectral theory ; 2. Analytic functional calculus via integral representations ; 3. Topological homology ; 4. Analytic sheaves ; 5. Frechet modules over Stein algebras ; 6. Bishop's condition ( ) and invariant subspaces ; 7. Applications to function theory ; 8. Spectral analysis on Bergmann spaces ; 9. Finiteness theorems in analytic geometry ; 10. Multidimensional index theory ; Appendices: ; Locally convex spaces ; Homological algebra ; K-Theory and Riemann-Roch theorems ; Sobolev spaces ; References