INTEGRATION OF OSCILLATORY AND SUBANALYTIC FUNCTIONS
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | INTEGRATION OF OSCILLATORY AND SUBANALYTIC FUNCTIONS |
| Type de publication | Journal Article |
| Year of Publication | 2018 |
| Auteurs | Cluckers R, Comte G, Miller DJ, Rolin J-P, Servi T |
| Journal | DUKE MATHEMATICAL JOURNAL |
| Volume | 167 |
| Pagination | 1239-1309 |
| Date Published | MAY 15 |
| Type of Article | Article |
| ISSN | 0012-7094 |
| Résumé | 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 article extends the investigation started by Lion and Rolin and Cluckers and Miller to an enriched framework including oscillatory functions. It provides a new example of fruitful interaction between analysis and singularity theory. |
| DOI | 10.1215/00127094-2017-0056 |