Interpolation Theory and Its Applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1997
|
| Series: | Mathematics and Its Applications
428 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 1. Interpolation problems play an important role both in theoretical and applied investigations. This explains the great number of works dedicated to classical and new interpolation problems ([1)-[5], [8), [13)-[16], [26)-[30], [57]). In this book we use a method of operator identities for investigating interpolation problems. Following the method of operator identities we formulate a general interpolation problem containing the classical interpolation problems (Nevanlinna Pick, Caratheodory, Schur, Humburger, Krein) as particular cases. We write down the abstract form of the Potapov inequality. By solving this inequality we give the description of the set of solutions of the general interpolation problem in the terms of the linear-fractional transformation. Then we apply the obtained general results to a number of classical and new interpolation problems. Some chapters of the book are dedicated to the application of the interpolation theory results to several other problems (the extension problem, generalized stationary processes, spectral theory, nonlinear integrable equations, functions with operator arguments). 2. Now we shall proceed to a more detailed description of the book contents |
| Physical Description: | 1 Online-Ressource (XVIII, 197 p) |
| ISBN: | 9789400900592 9789401065160 |
| DOI: | 10.1007/978-94-009-0059-2 |
Staff View
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| 490 | 1 | |a Mathematics and Its Applications |v 428 | |
| 500 | |a 1. Interpolation problems play an important role both in theoretical and applied investigations. This explains the great number of works dedicated to classical and new interpolation problems ([1)-[5], [8), [13)-[16], [26)-[30], [57]). In this book we use a method of operator identities for investigating interpolation problems. Following the method of operator identities we formulate a general interpolation problem containing the classical interpolation problems (Nevanlinna Pick, Caratheodory, Schur, Humburger, Krein) as particular cases. We write down the abstract form of the Potapov inequality. By solving this inequality we give the description of the set of solutions of the general interpolation problem in the terms of the linear-fractional transformation. Then we apply the obtained general results to a number of classical and new interpolation problems. Some chapters of the book are dedicated to the application of the interpolation theory results to several other problems (the extension problem, generalized stationary processes, spectral theory, nonlinear integrable equations, functions with operator arguments). 2. Now we shall proceed to a more detailed description of the book contents | ||
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
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| discipline | Mathematik |
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| id | DE-604.BV042423623 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9789400900592 9789401065160 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859040 |
| oclc_num | 1184417149 |
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| physical | 1 Online-Ressource (XVIII, 197 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer Netherlands |
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| series | Mathematics and Its Applications |
| series2 | Mathematics and Its Applications |
| spelling | Sachnovič, Lev A. 1932- Verfasser (DE-588)121081265 aut Interpolation Theory and Its Applications by L. A. Sakhnovich Dordrecht Springer Netherlands 1997 1 Online-Ressource (XVIII, 197 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 428 1. Interpolation problems play an important role both in theoretical and applied investigations. This explains the great number of works dedicated to classical and new interpolation problems ([1)-[5], [8), [13)-[16], [26)-[30], [57]). In this book we use a method of operator identities for investigating interpolation problems. Following the method of operator identities we formulate a general interpolation problem containing the classical interpolation problems (Nevanlinna Pick, Caratheodory, Schur, Humburger, Krein) as particular cases. We write down the abstract form of the Potapov inequality. By solving this inequality we give the description of the set of solutions of the general interpolation problem in the terms of the linear-fractional transformation. Then we apply the obtained general results to a number of classical and new interpolation problems. Some chapters of the book are dedicated to the application of the interpolation theory results to several other problems (the extension problem, generalized stationary processes, spectral theory, nonlinear integrable equations, functions with operator arguments). 2. Now we shall proceed to a more detailed description of the book contents Mathematics Fourier analysis Operator theory Logic, Symbolic and mathematical Approximations and Expansions Operator Theory Measure and Integration Mathematical Logic and Foundations Fourier Analysis Mathematik Interpolationsoperator (DE-588)4162122-0 gnd rswk-swf Interpolationsoperator (DE-588)4162122-0 s 1\p DE-604 Mathematics and Its Applications 428 (DE-604)BV008163334 428 https://doi.org/10.1007/978-94-009-0059-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sachnovič, Lev A. 1932- Interpolation Theory and Its Applications Mathematics and Its Applications Mathematics Fourier analysis Operator theory Logic, Symbolic and mathematical Approximations and Expansions Operator Theory Measure and Integration Mathematical Logic and Foundations Fourier Analysis Mathematik Interpolationsoperator (DE-588)4162122-0 gnd |
| subject_GND | (DE-588)4162122-0 |
| title | Interpolation Theory and Its Applications |
| title_auth | Interpolation Theory and Its Applications |
| title_exact_search | Interpolation Theory and Its Applications |
| title_full | Interpolation Theory and Its Applications by L. A. Sakhnovich |
| title_fullStr | Interpolation Theory and Its Applications by L. A. Sakhnovich |
| title_full_unstemmed | Interpolation Theory and Its Applications by L. A. Sakhnovich |
| title_short | Interpolation Theory and Its Applications |
| title_sort | interpolation theory and its applications |
| topic | Mathematics Fourier analysis Operator theory Logic, Symbolic and mathematical Approximations and Expansions Operator Theory Measure and Integration Mathematical Logic and Foundations Fourier Analysis Mathematik Interpolationsoperator (DE-588)4162122-0 gnd |
| topic_facet | Mathematics Fourier analysis Operator theory Logic, Symbolic and mathematical Approximations and Expansions Operator Theory Measure and Integration Mathematical Logic and Foundations Fourier Analysis Mathematik Interpolationsoperator |
| url | https://doi.org/10.1007/978-94-009-0059-2 |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT sachnovicleva interpolationtheoryanditsapplications |