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...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2011. |
| Collection: | Universitext
|
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
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 |
| Résumé: | 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 variables and R. Thom s isotopy theorems, Frédéric Pham s foundational study of the singularities of integrals lies at the interface between analysis and algebraic geometry, culminating in the Picard-Lefschetz formulae. These mathematical structures, enriched by the work of Nilsson, are then approached using methods from the theory of differential equations and generalized from the point of view of hyperfunction theory and microlocal analysis. Providing a must-have introduction to the singularities of integrals, a number of supplementary references also offer a convenient guide to the subjects covered. This book will appeal to both mathematicians and physicists with an interest in the area of singularities of integrals. Frédéric Pham, now retired, was Professor at the University of Nice. He has published several educational and research texts. His recent work concerns semi-classical analysis and resurgent functions |
|---|---|
| Description: | Description d'après consultation du 26 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliographie: | Bibliogr. p. 206-212 Index p. 213-215 |
| ISBN: | 9780857296030 |
| ISSN: | 2191-6675 |
| Accès: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |