Integration of oscillatory and subanalytic functions

© 2018, Duke University Press. 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.

Publication year:2018

BOF-keylabel:yes

IOF-keylabel:yes

BOF-publication weight:10

CSS-citation score:1

Authors:International

Authors from:Higher Education

Accessibility:Open