Introduction to the Theory of Toeplitz Operators with Infinite Index:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser Basel
2002
|
| Series: | Operator Theory: Advances and Applications
137 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | We offer the reader of this book some specimens of "infinity" that we seized from the "mathematical jungle" and trapped within the solid cage of analysis The creation of the theory of singular integral equations in the mid 20th century is associated with the names of N.I. Muskhelishvili, F.D. Gakhov, N.P. Vekua and their numerous students and followers and is marked by the fact that it relied principally on methods of complex analysis. In the early 1960s, the development of this theory received a powerful impulse from the ideas and methods of functional analysis that were then brought into the picture. Its modern architecture is due to a constellation of brilliant mathematicians and the scientific collectives that they produced (S.G. Mikhlin, M.G. Krein, B.V. Khvedelidze, I. Gohberg, LB. Simonenko, A. Devinatz, H. Widom, R.G. Douglas, D. Sarason, A.P. Calderon, S. Prossdorf, B. Silbermann, and others). In the ensuing period, the Fredholm theory of singular integral operators with a finite index was completed in its main aspects in wide classes of Banach and Frechet spaces |
| Physical Description: | 1 Online-Ressource (XII, 300 p) |
| ISBN: | 9783034882132 9783034894760 |
| DOI: | 10.1007/978-3-0348-8213-2 |
Staff View
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| spelling | Dybin, Vladimir Verfasser aut Introduction to the Theory of Toeplitz Operators with Infinite Index by Vladimir Dybin, Sergei M. Grudsky Basel Birkhäuser Basel 2002 1 Online-Ressource (XII, 300 p) txt rdacontent c rdamedia cr rdacarrier Operator Theory: Advances and Applications 137 We offer the reader of this book some specimens of "infinity" that we seized from the "mathematical jungle" and trapped within the solid cage of analysis The creation of the theory of singular integral equations in the mid 20th century is associated with the names of N.I. Muskhelishvili, F.D. Gakhov, N.P. Vekua and their numerous students and followers and is marked by the fact that it relied principally on methods of complex analysis. In the early 1960s, the development of this theory received a powerful impulse from the ideas and methods of functional analysis that were then brought into the picture. Its modern architecture is due to a constellation of brilliant mathematicians and the scientific collectives that they produced (S.G. Mikhlin, M.G. Krein, B.V. Khvedelidze, I. Gohberg, LB. Simonenko, A. Devinatz, H. Widom, R.G. Douglas, D. Sarason, A.P. Calderon, S. Prossdorf, B. Silbermann, and others). In the ensuing period, the Fredholm theory of singular integral operators with a finite index was completed in its main aspects in wide classes of Banach and Frechet spaces Mathematics Mathematics, general Mathematik Singulärer Integraloperator (DE-588)4131249-1 gnd rswk-swf Toeplitz-Operator (DE-588)4191521-5 gnd rswk-swf Singulärer Integraloperator (DE-588)4131249-1 s 1\p DE-604 Toeplitz-Operator (DE-588)4191521-5 s 2\p DE-604 Grudsky, Sergei M. Sonstige oth Operator Theory Advances and Applications 137 (DE-604)BV035421307 137 https://doi.org/10.1007/978-3-0348-8213-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dybin, Vladimir Introduction to the Theory of Toeplitz Operators with Infinite Index Mathematics Mathematics, general Mathematik Singulärer Integraloperator (DE-588)4131249-1 gnd Toeplitz-Operator (DE-588)4191521-5 gnd |
| subject_GND | (DE-588)4131249-1 (DE-588)4191521-5 |
| title | Introduction to the Theory of Toeplitz Operators with Infinite Index |
| title_auth | Introduction to the Theory of Toeplitz Operators with Infinite Index |
| title_exact_search | Introduction to the Theory of Toeplitz Operators with Infinite Index |
| title_full | Introduction to the Theory of Toeplitz Operators with Infinite Index by Vladimir Dybin, Sergei M. Grudsky |
| title_fullStr | Introduction to the Theory of Toeplitz Operators with Infinite Index by Vladimir Dybin, Sergei M. Grudsky |
| title_full_unstemmed | Introduction to the Theory of Toeplitz Operators with Infinite Index by Vladimir Dybin, Sergei M. Grudsky |
| title_short | Introduction to the Theory of Toeplitz Operators with Infinite Index |
| title_sort | introduction to the theory of toeplitz operators with infinite index |
| topic | Mathematics Mathematics, general Mathematik Singulärer Integraloperator (DE-588)4131249-1 gnd Toeplitz-Operator (DE-588)4191521-5 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Singulärer Integraloperator Toeplitz-Operator |
| url | https://doi.org/10.1007/978-3-0348-8213-2 |
| volume_link | (DE-604)BV035421307 |
| work_keys_str_mv | AT dybinvladimir introductiontothetheoryoftoeplitzoperatorswithinfiniteindex AT grudskysergeim introductiontothetheoryoftoeplitzoperatorswithinfiniteindex |