INTEGRATION OF OSCILLATORY AND SUBANALYTIC ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
INTEGRATION OF OSCILLATORY AND SUBANALYTIC FUNCTIONS
Author(s) :
Cluckers, Raf [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille
Comte, Georges [Auteur]
Laboratoire de Mathématiques [LAMA]
Université Savoie Mont Blanc [USMB [Université de Savoie] [Université de Chambéry]]
Miller, Daniel [Auteur]
Emporia State University
Rolin, Jean-Philippe [Auteur]
Institut de Mathématiques de Bourgogne [Dijon] [IMB]
Université de Bourgogne [UB]
Servi, Tamara [Auteur]
Institut de Mathématiques de Jussieu - Paris Rive Gauche [IMJ-PRG (UMR_7586)]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille
Comte, Georges [Auteur]
Laboratoire de Mathématiques [LAMA]
Université Savoie Mont Blanc [USMB [Université de Savoie] [Université de Chambéry]]
Miller, Daniel [Auteur]
Emporia State University
Rolin, Jean-Philippe [Auteur]
Institut de Mathématiques de Bourgogne [Dijon] [IMB]
Université de Bourgogne [UB]
Servi, Tamara [Auteur]
Institut de Mathématiques de Jussieu - Paris Rive Gauche [IMJ-PRG (UMR_7586)]
Journal title :
Duke Mathematical Journal
Publisher :
Duke University Press
Publication date :
2018-11-01
ISSN :
0012-7094
HAL domain(s) :
Mathématiques [math]
English abstract : [en]
We prove the stability under integration and under Fourier transform of a concrete class of functions containing all globally subanalytic functions and their complex exponentials. This paper extends the investigation started ...
Show more >We prove the stability under integration and under Fourier transform of a concrete class of functions containing all globally subanalytic functions and their complex exponentials. This paper extends the investigation started in [26] and [8] to an enriched framework including oscillatory functions. It provides a new example of fruitful interaction between analysis and singularity theory.Show less >
Show more >We prove the stability under integration and under Fourier transform of a concrete class of functions containing all globally subanalytic functions and their complex exponentials. This paper extends the investigation started in [26] and [8] to an enriched framework including oscillatory functions. It provides a new example of fruitful interaction between analysis and singularity theory.Show less >
Language :
Anglais
Popular science :
Non
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