Mellin transforms of power-constructible functions
Algebraic Geometry
2024-11-19 v3 Classical Analysis and ODEs
Logic
Abstract
We consider several systems of algebras of real- and complex-valued functions, which appear in o-minimal geometry and related geometrically tame contexts. For each such system, we prove its stability under parametric integration and we study the asymptotics of the functions as well as the nature of their parametric Mellin transforms.
Cite
@article{arxiv.2304.04538,
title = {Mellin transforms of power-constructible functions},
author = {Raf Cluckers and Georges Comte and Jean-Philippe Rolin and Tamara Servi},
journal= {arXiv preprint arXiv:2304.04538},
year = {2024}
}
Comments
To appear in Advances in Mathematics