Holomorphic Operator Functions of One Variable and Applications: Methods from Complex Analysis in Several Variables: 192 - Rilegato
Libro 38 di 132: Operator Theory: Advances and Applications
Sinossi
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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
Elementary properties of holomorphic functions.- Solution of and applications.- Splitting and factorization with respect to a contour.- The Rouché theorem for operator functions.- Multiplicative cocycles ( -cocycles).- Families of subspaces.- Plemelj-Muschelishvili factorization.- Wiener-Hopf operators, Toeplitz operators and factorization.- Multiplicative cocycles with restrictions ( -cocycles).- Generalized interpolation problems.- Holomorphic equivalence, linearization and diagonalization.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Holomorphic Operator Functions of One Variable and Applications: Methods from Complex Analysis in Several Variables (Operator Theory: Advances and Applications, 192)
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Holomorphic Operator Functions of One Variable and Applications
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 448 pp. Englisch. Codice articolo 9783034601252
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Holomorphic Operator Functions of One Variable and Applications
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Applications deal with interpolation, holomorphic families of subspaces and frames, holomorphic equivalence and diagonalization and Plemlj-Muschelishvili factorizationExposition of the material is made in style and terms which are used in Complex . Codice articolo 4317859
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Holomorphic Operator Functions of One Variable and Applications
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Condizione: New. This book presents holomorphic operator functions of a single variable and applications, which are focused on the relations between local and global theories. It is based on methods and technics of complex analysis of several variables. Series: Operator Theory: Advances and Applications. Num Pages: 444 pages, biography. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 244 x 170 x 28. Weight in Grams: 945. . 2009. Hardback. . . . . Codice articolo V9783034601252
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Holomorphic Operator Functions of One Variable and Applications
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Holomorphic Operator Functions of One Variable and Applications
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Birkhäuser, Birkhäuser Jun 2009, 2009
ISBN 10: 3034601255
ISBN 13: 9783034601252
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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 448 pp. Englisch. Codice articolo 9783034601252
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Holomorphic Operator Functions of One Variable and Applications : Methods from Complex Analysis in Several Variables
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Buch. Condizione: Neu. 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. Codice articolo 9783034601252
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Holomorphic Operator Functions of One Variable and Applications: Methods from Complex Analysis in Several Variables
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