Submission date: 10 April 2023

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.

Mathematics Subject Classification: 26B15, 14P15, 32B20, 42B20, 42A38

Keywords and phrases:

Full text arXiv 2304.04538: pdf, ps.