Complex Analysis, Operators, and Related Topics: The S. A. Vinogradov Memorial Volume
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2000
|
| Schriftenreihe: | Operator Theory: Advances and Applications
113 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This volume is devoted to some topical problems and various applications of operator theory and its interplay with modern complex analysis. It consists of 30 carefully selected surveys and research papers. The main subjects of the volume include: · free interpolation by analytic functions in its development from the pathbreaking works by L. Carleson up to the most recent achievements and in its connections with the theory of singular integral operators and Carleson-type embedding theorems, moment problems etc. · Szökefalvi-Nagy-Foias model spaces studied from the point of view of holomorphic spaces · holomorphic spaces (Hardy, Bergman, Hölder, and Sobolev spaces) · analytic functions smooth up to the boundary with their subtle properties related to the Nevanlinna-Smirnov factorization, division and multiplication, and zero sets · a new approach to weighted inequalities for singular integrals based on the Bellman function in optimization theory; · the uncertainty principle in harmonic analysis and, in particular, a complete version of Turan‘s lemma on trigonometric sums · Hankel operators and stationary Gaussian processes · Fourier multipliers, and spectral analysis of some differential operators. These themes are united by the "operator theoretic ideology" and systematic use of modern function theoretical techniques. The book is dedicated to the memory of S. A. Vinogradov. It contains a bibliographical note (with a lively portrait) of S. A. Vinogradov, a detailed survey of his mathematical achievements, and a complete list of publications, as well as the translations of two of Vinogradov‘s surveys whose Russian originals are now hardly accessible |
| Beschreibung: | 1 Online-Ressource (X, 408 p) |
| ISBN: | 9783034883788 9783034895415 |
| DOI: | 10.1007/978-3-0348-8378-8 |
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Datensatz im Suchindex
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| author | Havin, Victor P. |
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| spelling | Havin, Victor P. Verfasser aut Complex Analysis, Operators, and Related Topics The S. A. Vinogradov Memorial Volume edited by Victor P. Havin, Nikolai K. Nikolski Basel Birkhäuser Basel 2000 1 Online-Ressource (X, 408 p) txt rdacontent c rdamedia cr rdacarrier Operator Theory: Advances and Applications 113 This volume is devoted to some topical problems and various applications of operator theory and its interplay with modern complex analysis. It consists of 30 carefully selected surveys and research papers. The main subjects of the volume include: · free interpolation by analytic functions in its development from the pathbreaking works by L. Carleson up to the most recent achievements and in its connections with the theory of singular integral operators and Carleson-type embedding theorems, moment problems etc. · Szökefalvi-Nagy-Foias model spaces studied from the point of view of holomorphic spaces · holomorphic spaces (Hardy, Bergman, Hölder, and Sobolev spaces) · analytic functions smooth up to the boundary with their subtle properties related to the Nevanlinna-Smirnov factorization, division and multiplication, and zero sets · a new approach to weighted inequalities for singular integrals based on the Bellman function in optimization theory; · the uncertainty principle in harmonic analysis and, in particular, a complete version of Turan‘s lemma on trigonometric sums · Hankel operators and stationary Gaussian processes · Fourier multipliers, and spectral analysis of some differential operators. These themes are united by the "operator theoretic ideology" and systematic use of modern function theoretical techniques. The book is dedicated to the memory of S. A. Vinogradov. It contains a bibliographical note (with a lively portrait) of S. A. Vinogradov, a detailed survey of his mathematical achievements, and a complete list of publications, as well as the translations of two of Vinogradov‘s surveys whose Russian originals are now hardly accessible Vinogradov, Stanislav A. 1941-1997 (DE-588)122018710 gnd rswk-swf Mathematics Mathematics, general Mathematik Bibliografie (DE-588)4006432-3 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content 2\p (DE-588)4016928-5 Festschrift gnd-content Vinogradov, Stanislav A. 1941-1997 (DE-588)122018710 p Bibliografie (DE-588)4006432-3 s 3\p DE-604 Funktionentheorie (DE-588)4018935-1 s Operatortheorie (DE-588)4075665-8 s 4\p DE-604 Nikolski, Nikolai K. Sonstige oth https://doi.org/10.1007/978-3-0348-8378-8 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Havin, Victor P. Complex Analysis, Operators, and Related Topics The S. A. Vinogradov Memorial Volume Vinogradov, Stanislav A. 1941-1997 (DE-588)122018710 gnd Mathematics Mathematics, general Mathematik Bibliografie (DE-588)4006432-3 gnd Funktionentheorie (DE-588)4018935-1 gnd Operatortheorie (DE-588)4075665-8 gnd |
| subject_GND | (DE-588)122018710 (DE-588)4006432-3 (DE-588)4018935-1 (DE-588)4075665-8 (DE-588)4143413-4 (DE-588)4016928-5 |
| title | Complex Analysis, Operators, and Related Topics The S. A. Vinogradov Memorial Volume |
| title_auth | Complex Analysis, Operators, and Related Topics The S. A. Vinogradov Memorial Volume |
| title_exact_search | Complex Analysis, Operators, and Related Topics The S. A. Vinogradov Memorial Volume |
| title_full | Complex Analysis, Operators, and Related Topics The S. A. Vinogradov Memorial Volume edited by Victor P. Havin, Nikolai K. Nikolski |
| title_fullStr | Complex Analysis, Operators, and Related Topics The S. A. Vinogradov Memorial Volume edited by Victor P. Havin, Nikolai K. Nikolski |
| title_full_unstemmed | Complex Analysis, Operators, and Related Topics The S. A. Vinogradov Memorial Volume edited by Victor P. Havin, Nikolai K. Nikolski |
| title_short | Complex Analysis, Operators, and Related Topics |
| title_sort | complex analysis operators and related topics the s a vinogradov memorial volume |
| title_sub | The S. A. Vinogradov Memorial Volume |
| topic | Vinogradov, Stanislav A. 1941-1997 (DE-588)122018710 gnd Mathematics Mathematics, general Mathematik Bibliografie (DE-588)4006432-3 gnd Funktionentheorie (DE-588)4018935-1 gnd Operatortheorie (DE-588)4075665-8 gnd |
| topic_facet | Vinogradov, Stanislav A. 1941-1997 Mathematics Mathematics, general Mathematik Bibliografie Funktionentheorie Operatortheorie Aufsatzsammlung Festschrift |
| url | https://doi.org/10.1007/978-3-0348-8378-8 |
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