Holomorphic Operator Functions of One Variable and Applications : Methods from Complex Analysis in Several Variables

Language: English

Published by Birkhäuser, 2009

3034601255 / 9783034601252

Series: Book 38 of 132 - Operator Theory: Advances and Applications

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - This is a book on holomorphic operator functions of a single variable and their - plications,whichisfocussedontherelationsbetweenlocalandglobaltheories.Itis based on methods and technics of Complex analysis of scalar and matrix functions of several variables. The applications concern: interpolation, holomorphic families of subspaces and frames, spectral theory of polynomials with operator coe cients, holomorphic equivalence and diagonalization, and Plemelj-Muschelishvili fact- ization. The book also contains a theory of Wiener-Hopf integral equations with operator-valued kernels and a theory of in nite Toplitz matrices with operator entries. We started to work on these topics long ago when one of us was a Ph.D. s- dent of the other in Kishinev (now Cisinau) University. Then our main interests were in problems of factorization of operator-valued functions and singular in- gral operators. Working in this area, we realized from the beginning that di erent methods and tools from Complex analysis of several variables and their modi - tions are very useful in obtaining results on factorization for matrix and operator functions. We have in mind di erent methods and results concerning connections between local and global properties of holomorphic functions. The rst period was very fruitful and during it we obtained the basic results presented in this book.

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Title
Holomorphic Operator Functions of One Variable and Applications : Methods from Complex Analysis in Several Variables
Author
Jürgen Leiterer
Publisher
Birkhäuser
Publication year
2009
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3034601255
ISBN 13
9783034601252
Item weight
949 grams
Dimensions
250x175x30 mm
Series
Book 38 of 132: Operator Theory: Advances and Applications

AHA-BUCH GmbH

Einbeck, Germany

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