Mellin transforms of power-constructible functions

Cluckers, Raf; Comte, Georges; Rolin, Jean-Philippe; Servi, Tamara

Document type :

Pré-publication ou Document de travail

Title :

Mellin transforms of power-constructible functions

Author(s) :

Cluckers, Raf [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]
Comte, Georges [Auteur]
Rolin, Jean-Philippe [Auteur]
Servi, Tamara [Auteur]

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Files

2304.04538
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