Integration of oscillatory and subanalytic functions - Archive ouverte HAL
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 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.
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Dates et versions

hal-03798616 , version 1 (05-10-2022)

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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-03798616⟩
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