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,...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2009. |
| Schriftenreihe: | Operator Theory: Advances and Applications
192 |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
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 |
| Zusammenfassung: | 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 |
|---|---|
| Beschreibung: | Description d'après consultation du 26 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliographie: | Bibliogr. Index |
| ISBN: | 9783034601269 |
| ISSN: | 2296-4878 |
| Zugangseinschränkungen: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |