| Titre : | D-modules and microlocal calculus | | Type de document : | texte imprimé | | Auteurs : | Masaki KASHIWARA, Auteur ; Mutsumi SAITO, Traducteur | | Editeur : | Providence, R. I. [Etats Unis] : American Mathematical Society | | Année de publication : | cop. 2003 | | Collection : | Translations of mathematical monographs, ISSN 0065-9282 num. 217 | | Importance : | XVI-254 p. | | ISBN/ISSN/EAN : | 978-0-8218-2766-6 | | Langues : | Anglais | | Catégories : | 32A37
32C38
58J15
| | Mots-clés : | D-module analyse microlocale | | Résumé : | The theory of D-modules is a very powerful point of view, bringing ideas from algebra and algebraic geometry to the analysis of systems of differential equations. It is often used in conjunction with microlocal analysis, as some of the important theorems are best stated or proved using these techniques. The theory has been used very successfully in applications to representation theory.Here, there is an emphasis on b-functions. These show up in various contexts: number theory, analysis, representation theory, and the geometry and invariants of prehomogeneous vector spaces. Some of the most important results on $b$-functions were obtained by Kashiwara.A hot topic from the mid `70s to mid `80s, it has now moved a bit more into the mainstream. Graduate students and research mathematicians will find that working on the subject in the two-decade interval has given Kashiwara a very good perspective for presenting the topic to the general mathematical public. | | Note de contenu : | index, bibliogr. |
D-modules and microlocal calculus [texte imprimé] / Masaki KASHIWARA, Auteur ; Mutsumi SAITO, Traducteur . - Providence, R. I. (Etats Unis) : American Mathematical Society, cop. 2003 . - XVI-254 p.. - ( Translations of mathematical monographs, ISSN 0065-9282; 217) . ISBN : 978-0-8218-2766-6 Langues : Anglais | Catégories : | 32A37
32C38
58J15
| | Mots-clés : | D-module analyse microlocale | | Résumé : | The theory of D-modules is a very powerful point of view, bringing ideas from algebra and algebraic geometry to the analysis of systems of differential equations. It is often used in conjunction with microlocal analysis, as some of the important theorems are best stated or proved using these techniques. The theory has been used very successfully in applications to representation theory.Here, there is an emphasis on b-functions. These show up in various contexts: number theory, analysis, representation theory, and the geometry and invariants of prehomogeneous vector spaces. Some of the most important results on $b$-functions were obtained by Kashiwara.A hot topic from the mid `70s to mid `80s, it has now moved a bit more into the mainstream. Graduate students and research mathematicians will find that working on the subject in the two-decade interval has given Kashiwara a very good perspective for presenting the topic to the general mathematical public. | | Note de contenu : | index, bibliogr. |
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D-modules and microlocal calculus (cop. 2003)
