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...
Tallennettuna:
| Päätekijä: | |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Painos: | 1st ed. 2011. |
| Sarja: | Universitext
|
| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
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 |
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| 100 | 1 | |a Pham, Frédéric, |d 1938-...., |c géomètre. | |
| 245 | 1 | 0 | |a Singularities of integrals : |b homology, hyperfunctions and microlocal analysis |c Frédéric Pham. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a London : |b Springer London. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Universitext |x 2191-6675 | |
| 500 | |a Description d'après consultation du 26 avril 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 206-212 Index p. 213-215 | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Intégrales singulières | ||
| 776 | 0 | |0 152879706 |t Singularities of integrals |o homology, hyperfunctions and microlocal analysis |f Frédéric Pham |c London |n Springer |n EDP Sciences |d 2011 |p 1 vol. (XI-217 p.) |s Universitext |z 978-0-85729-602-3 | |
| 776 | 0 | |0 152879706 |t Singularities of integrals |o homology, hyperfunctions and microlocal analysis |f Frédéric Pham |c London |n Springer |n EDP Sciences |d 2011 |p 1 vol. (XI-217 p.) |s Universitext |z 978-0-85729-602-3 | |
| 776 | 0 | |t Singularities of integrals |b Texte imprimé |z 9780857296047 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-0-85729-603-0 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-7KS1KGF0-3 |z Accès sur la plateforme Istex | |
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| 997 | |0 968905 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||