Spectral Decompositions and Analytic Sheaves: 10 - Rilegato

Eschmeier, Jörg; Putinar, Mihai

Rilegato

ISBN 10: 0198536674 ISBN 13: 9780198536673

Casa editrice: OUP Oxford, 1996

Riassunto

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.

Su questo libro

Recensione

The book presents an up to date picture. (Zentrallblat fur Mathematik, 1997)

Contenuti

• Preface
• 1: Review of spectral theory
• 2: Analytic functional calculus via integral representations
• 3: Topological homology
• 4: Analytic sheaves
• 5: Fréchet 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

Dettagli dell'edizione

• Editore: OUP Oxford
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 0198536674
• ISBN 13: 9780198536673
• Rilegatura: Copertina rigida
• Numero di pagine: 372
• Contatto del produttore: non disponibile
• Persona responsabile: Penguin Random House Ireland Limited; productsafety@penguin.co.uk; ; Morrison Chambers, 32 Nassau Street; Dublin; D02 YH68; Irlanda