Abstract
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.
Citation
Raf Cluckers. Georges Comte. Daniel J. Miller. Jean-Philippe Rolin. Tamara Servi. "Integration of oscillatory and subanalytic functions." Duke Math. J. 167 (7) 1239 - 1309, 15 May 2018. https://doi.org/10.1215/00127094-2017-0056
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