Spectral decompositions and analytic sheaves
著者
書誌事項
Spectral decompositions and analytic sheaves
（London Mathematical Society monographs, new ser.,
Clarendon Press, 1996
大学図書館所蔵 件 / 全34件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. [345]-356) and index
内容説明・目次
内容説明
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.
目次
- 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
「Nielsen BookData」 より
