Singularities of integrals : homology, hyperfunctions and microlocal analysis
Bringing together two fundamental texts from Frédéric Pham s research on singular integrals, the first part of this book focuses on topological and geometrical aspects while the second explains the analytic approach. Using notions developed by J. Leray in the calculus of residues in several variable...
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| Главный автор: | |
|---|---|
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Редактирование: | 1st ed. 2011. |
| Серии: | Universitext
|
| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
Description d'après consultation du 26 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Singularities of integrals, homology, hyperfunctions and microlocal analysis, Frédéric Pham, London, Springer, EDP Sciences, 2011, 1 vol. (XI-217 p.), Universitext, 978-0-85729-602-3 • Singularities of integrals, homology, hyperfunctions and microlocal analysis, Frédéric Pham, London, Springer, EDP Sciences, 2011, 1 vol. (XI-217 p.), Universitext, 978-0-85729-602-3 • Singularities of integrals, Texte imprimé, 9780857296047 |
Оглавление:
- Differentiable manifolds Homology and cohomology of manifolds Leray s theory of residues Thom s isotopy theorem Ramification around Landau varieties Analyticity of an integral depending on a parameter Ramification of an integral whose integrand is itself ramified Functions of a complex variable in the Nilsson class Functions in the Nilsson class on a complex analytic manifold Analyticity of integrals depending on parameters Sketch of a proof of Nilsson s theorem Examples: how to analyze integrals with singular integrands Hyperfunctions in one variable, hyperfunctions in the Nilsson class Introduction to Sato s microlocal analysis