Holomorphic operator functions of one variable and applications : methods from complex analysis in several variables

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,...

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Bibliografiset tiedot
Päätekijät: Gohberg, Izrail½ Cadikovič, 1928-2009, mathématicien, Leiterer, Jürgen, 1945- (Tekijä)
Aineistotyyppi: Livre numérique
Kieli:Anglais
Julkaistu: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Painos:1st ed. 2009.
Sarja:Operator Theory: Advances and Applications 192
Linkit:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Huomautus: Description d'après consultation du 26 mars 2012
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Holomorphic operator functions of one variable and applications, methods from complex analysis in several variables, Israel Gohberg, Jürgen Leiterer, Basel, Birkhäuser, 2009, 1 vol. (XVII-422 p.), Operator theory : advances and applications, 978-3-03-460125-2
• Holomorphic Operator Functions of One Variable and Applications, Texte imprimé, 9783034601276
• Holomorphic operator functions of one variable and applications, methods from complex analysis in several variables, Israel Gohberg, Jürgen Leiterer, Basel, Birkhäuser, 2009, 1 vol. (XVII-422 p.), Operator theory : advances and applications, 978-3-03-460125-2
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100 1 |a Gohberg, Izrail½ Cadikovič,  |d 1928-2009,  |c mathématicien. 
245 1 0 |a Holomorphic operator functions of one variable and applications :  |b methods from complex analysis in several variables   |c by Israel Gohberg, Jürgen Leiterer. 
250 |a 1st ed. 2009. 
260 |a Basel :  |b Birkhäuser Basel. 
260 |a Cham :  |b Springer Nature,  |c [20..]. 
490 0 |a Operator Theory: Advances and Applications  |v 192  |x 2296-4878 
500 |a Description d'après consultation du 26 mars 2012 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
504 |a Bibliogr. Index 
505 1 |a 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 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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 
700 1 |a Leiterer, Jürgen,  |d 1945-  |4 aut 
776 0 |0 137035438  |t Holomorphic operator functions of one variable and applications  |o methods from complex analysis in several variables  |f Israel Gohberg, Jürgen Leiterer  |c Basel  |n Birkhäuser  |d 2009  |p 1 vol. (XVII-422 p.)  |s Operator theory : advances and applications  |z 978-3-03-460125-2 
776 0 |t Holomorphic Operator Functions of One Variable and Applications  |b Texte imprimé  |z 9783034601276 
776 0 |0 137035438  |t Holomorphic operator functions of one variable and applications  |o methods from complex analysis in several variables  |f Israel Gohberg, Jürgen Leiterer  |c Basel  |n Birkhäuser  |d 2009  |p 1 vol. (XVII-422 p.)  |s Operator theory : advances and applications  |z 978-3-03-460125-2 
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