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Article Dans Une Revue Duke Mathematical Journal Année : 2018

Integration of oscillatory and subanalytic functions

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.

Dates et versions

hal-01900046 , version 1 (20-10-2018)

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Raf Cluckers, Georges Comte, Daniel J. Miller, Jean-Philippe Rolin, Tamara Servi. Integration of oscillatory and subanalytic functions. Duke Mathematical Journal, 2018, 167 (7), pp.1239-1309. ⟨10.1215/00127094-2017-0056⟩. ⟨hal-01900046⟩
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