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Spectral Decompositions and Analytic Sheaves

Spectral Decompositions and Analytic Sheaves

Hardcover

Series: London Mathematical Society Monographs, Book 10

CalculusGeneral MathematicsGeometry

ISBN10: 0198536674
ISBN13: 9780198536673
Publisher: Clarendon Press
Published: Aug 1 1996
Pages: 372
Weight: 1.55
Height: 0.88 Width: 6.14 Depth: 9.21
Language: English
Rapid developments in multivariable spectral theory have led to important and fascinating results which also have applications in other mathematical disciplines. In this book, various concepts from function theory and complex analytic geometry are drawn together to give a new approach to concrete spectral computations and give insights into new developments in the spectral theory of linear operators. Classical results from cohomology theory of Banach algebras, multidimensional spectral theory, and complex analytic geometry have been freshly interpreted using the language of homological algebra. The advantages of this approach are illustrated by a variety of examples, unexpected applications, and conceptually new ideas that should stimulate further research among mathematicians.

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Calculus