INTEGRATION OF OSCILLATORY AND SUBANALYTIC FUNCTIONS

Cluckers, Raf; Comte, Georges; Miller, Daniel; Rolin, Jean-Philippe; Servi, Tamara

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1215/00127094-2017-0056

Title :

INTEGRATION OF OSCILLATORY AND SUBANALYTIC FUNCTIONS

Author(s) :

Cluckers, Raf [Auteur]

Université de Lille
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Comte, Georges [Auteur]
Université Savoie Mont Blanc [USMB [Université de Savoie] [Université de Chambéry]]
Laboratoire de Mathématiques [LAMA]
Miller, Daniel [Auteur]
Emporia State University
Rolin, Jean-Philippe [Auteur]
Université de Bourgogne [UB]
Institut de Mathématiques de Bourgogne [Dijon] [IMB]
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 >

Language :

Anglais

Popular science :

Non

ANR Project :

Géométrie Lipschitz des singularités

Collections :