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Spectral Decompositions and Analytic Sheaves
Jörg EschmeierMihai Putinar
出版Clarendon Press, 1996
主題Language Arts & Disciplines / Linguistics / GeneralMathematics / AdvancedMathematics / CalculusMathematics / Geometry / AnalyticMathematics / Probability & Statistics / GeneralMathematics / Functional AnalysisMathematics / Complex Analysis
ISBN01985366749780198536673
URLhttp://books.google.com.hk/books?id=_o0l5D92wrcC&hl=&source=gbs_api
EBookSAMPLE
註釋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.