The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1998
|
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
256 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In 1963 my book entitled "Linear partial differential operators" was published in the Grundlehren series. Some parts of it have aged well but others have been made obsolete for quite some time by techniques using pseudo-differential and Fourier integral operators. The rapid development has made it difficult to bring the book up to date. However, the new methods seem to have matured enough now to make an attempt worth while. The progress in the theory of linear partial differential equations during the past 30 years owes much to the theory of distributions created by Laurent Schwartz at the end of the 1940's. It summed up a great deal of the experience accumulated in the study of partial differential equations up to that time, and it has provided an ideal framework for later developments. "Linear partial differential operators" began with a brief summary of distribution theory for this was still unfamiliar to many analysts 20 years ago. The presentation then proceeded directly to the most general results available on partial differential operators. Thus the reader was expected to have some prior familiarity with the classical theory although it was not appealed to explicitly. Today it may no longer be necessary to include basic distribution theory but it does not seem reasonable to assume a classical background in the theory of partial differential equations since modern treatments are rare |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783642967504 9783642967528 |
| DOI: | 10.1007/978-3-642-96750-4 |
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Datensatz im Suchindex
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| isbn | 9783642967504 9783642967528 |
| language | English |
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| series2 | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
| spelling | Hörmander, Lars 1931-2012 Verfasser (DE-588)105823449 aut The Analysis of Linear Partial Differential Operators I Distribution Theory and Fourier Analysis by Lars Hörmander Berlin, Heidelberg Springer Berlin Heidelberg 1998 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 256 In 1963 my book entitled "Linear partial differential operators" was published in the Grundlehren series. Some parts of it have aged well but others have been made obsolete for quite some time by techniques using pseudo-differential and Fourier integral operators. The rapid development has made it difficult to bring the book up to date. However, the new methods seem to have matured enough now to make an attempt worth while. The progress in the theory of linear partial differential equations during the past 30 years owes much to the theory of distributions created by Laurent Schwartz at the end of the 1940's. It summed up a great deal of the experience accumulated in the study of partial differential equations up to that time, and it has provided an ideal framework for later developments. "Linear partial differential operators" began with a brief summary of distribution theory for this was still unfamiliar to many analysts 20 years ago. The presentation then proceeded directly to the most general results available on partial differential operators. Thus the reader was expected to have some prior familiarity with the classical theory although it was not appealed to explicitly. Today it may no longer be necessary to include basic distribution theory but it does not seem reasonable to assume a classical background in the theory of partial differential equations since modern treatments are rare Mathematics Topological Groups Topological Groups, Lie Groups Mathematik Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 256 (DE-604)BV049758308 256 https://doi.org/10.1007/978-3-642-96750-4 Verlag Volltext |
| spellingShingle | Hörmander, Lars 1931-2012 The Analysis of Linear Partial Differential Operators I Distribution Theory and Fourier Analysis Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics Mathematics Topological Groups Topological Groups, Lie Groups Mathematik |
| title | The Analysis of Linear Partial Differential Operators I Distribution Theory and Fourier Analysis |
| title_auth | The Analysis of Linear Partial Differential Operators I Distribution Theory and Fourier Analysis |
| title_exact_search | The Analysis of Linear Partial Differential Operators I Distribution Theory and Fourier Analysis |
| title_full | The Analysis of Linear Partial Differential Operators I Distribution Theory and Fourier Analysis by Lars Hörmander |
| title_fullStr | The Analysis of Linear Partial Differential Operators I Distribution Theory and Fourier Analysis by Lars Hörmander |
| title_full_unstemmed | The Analysis of Linear Partial Differential Operators I Distribution Theory and Fourier Analysis by Lars Hörmander |
| title_short | The Analysis of Linear Partial Differential Operators I |
| title_sort | the analysis of linear partial differential operators i distribution theory and fourier analysis |
| title_sub | Distribution Theory and Fourier Analysis |
| topic | Mathematics Topological Groups Topological Groups, Lie Groups Mathematik |
| topic_facet | Mathematics Topological Groups Topological Groups, Lie Groups Mathematik |
| url | https://doi.org/10.1007/978-3-642-96750-4 |
| volume_link | (DE-604)BV049758308 |
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