Foundations of Algebraic Analysis (PMS-37):
The use of algebraic methods for studying analysts is an important theme in modern mathematics. The most significant development in this field is microlocal analysis, that is, the local study of differential equations on cotangent bundles. This treatise provides a thorough description of microlocal...
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| Hauptverfasser: | , , , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2017]
|
| Schriftenreihe: | Princeton mathematical series
37 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FHA01 FKE01 FLA01 UPA01 FAB01 FCO01 Volltext |
| Zusammenfassung: | The use of algebraic methods for studying analysts is an important theme in modern mathematics. The most significant development in this field is microlocal analysis, that is, the local study of differential equations on cotangent bundles. This treatise provides a thorough description of microlocal analysis starting from its foundations. The book begins with the definition of a hyperfunction. It then carefully develops the microfunction theory and its applications to differential equations and theoretical physics. It also provides a description of microdifferential equations, the microlocalization of linear differential equations. Finally, the authors present the structure theorems for systems of microdifferential equations, where the quantized contact transformations are used as a fundamental device.The microfunction theory, together with the quantized contact transformation theory, constitutes a valuable new viewpoint in linear partial differential equations.Originally published in 1986.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905 |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Jun 2017) |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781400886098 |
| DOI: | 10.1515/9781400886098 |
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| 520 | |a The use of algebraic methods for studying analysts is an important theme in modern mathematics. The most significant development in this field is microlocal analysis, that is, the local study of differential equations on cotangent bundles. This treatise provides a thorough description of microlocal analysis starting from its foundations. The book begins with the definition of a hyperfunction. It then carefully develops the microfunction theory and its applications to differential equations and theoretical physics. It also provides a description of microdifferential equations, the microlocalization of linear differential equations. Finally, the authors present the structure theorems for systems of microdifferential equations, where the quantized contact transformations are used as a fundamental device.The microfunction theory, together with the quantized contact transformation theory, constitutes a valuable new viewpoint in linear partial differential equations.Originally published in 1986.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905 | ||
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Datensatz im Suchindex
| _version_ | 1804177680685334528 |
|---|---|
| any_adam_object | |
| author | Kashiwara, Masaki Kato, Goro Kawai, Takahiro Kimura, Tatsuo |
| author_facet | Kashiwara, Masaki Kato, Goro Kawai, Takahiro Kimura, Tatsuo |
| author_role | aut aut aut aut |
| author_sort | Kashiwara, Masaki |
| author_variant | m k mk g k gk t k tk t k tk |
| building | Verbundindex |
| bvnumber | BV044399960 |
| collection | ZDB-23-DGG |
| ctrlnum | (ZDB-23-DGG)9781400886098 (OCoLC)992492350 (DE-599)BVBBV044399960 |
| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400886098 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:51:56Z |
| institution | BVB |
| isbn | 9781400886098 |
| language | English |
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| spelling | Kashiwara, Masaki aut Foundations of Algebraic Analysis (PMS-37) Masaki Kashiwara, Tatsuo Kimura, Takahiro Kawai Princeton, NJ Princeton University Press [2017] © 2017 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Princeton mathematical series 37 Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Jun 2017) The use of algebraic methods for studying analysts is an important theme in modern mathematics. The most significant development in this field is microlocal analysis, that is, the local study of differential equations on cotangent bundles. This treatise provides a thorough description of microlocal analysis starting from its foundations. The book begins with the definition of a hyperfunction. It then carefully develops the microfunction theory and its applications to differential equations and theoretical physics. It also provides a description of microdifferential equations, the microlocalization of linear differential equations. Finally, the authors present the structure theorems for systems of microdifferential equations, where the quantized contact transformations are used as a fundamental device.The microfunction theory, together with the quantized contact transformation theory, constitutes a valuable new viewpoint in linear partial differential equations.Originally published in 1986.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905 Algebra Mathematical analysis Kato, Goro aut Kawai, Takahiro aut Kimura, Tatsuo aut Princeton mathematical series 37 (DE-604)BV045898993 37 https://doi.org/10.1515/9781400886098 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Kashiwara, Masaki Kato, Goro Kawai, Takahiro Kimura, Tatsuo Foundations of Algebraic Analysis (PMS-37) Princeton mathematical series Algebra Mathematical analysis |
| title | Foundations of Algebraic Analysis (PMS-37) |
| title_auth | Foundations of Algebraic Analysis (PMS-37) |
| title_exact_search | Foundations of Algebraic Analysis (PMS-37) |
| title_full | Foundations of Algebraic Analysis (PMS-37) Masaki Kashiwara, Tatsuo Kimura, Takahiro Kawai |
| title_fullStr | Foundations of Algebraic Analysis (PMS-37) Masaki Kashiwara, Tatsuo Kimura, Takahiro Kawai |
| title_full_unstemmed | Foundations of Algebraic Analysis (PMS-37) Masaki Kashiwara, Tatsuo Kimura, Takahiro Kawai |
| title_short | Foundations of Algebraic Analysis (PMS-37) |
| title_sort | foundations of algebraic analysis pms 37 |
| topic | Algebra Mathematical analysis |
| topic_facet | Algebra Mathematical analysis |
| url | https://doi.org/10.1515/9781400886098 |
| volume_link | (DE-604)BV045898993 |
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