Mellin transforms of power-constructible functions
DOI10.1016/j.aim.2024.110025MaRDI QIDQ6651543
Tamara Servi, Jean-Philippe Rolin, Raf Cluckers, Georges Comte
Publication date: 10 December 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Real-analytic and semi-analytic sets (14P15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Integration of real functions of several variables: length, area, volume (26B15) Semialgebraic sets and related spaces (14P10) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Model theory of ordered structures; o-minimality (03C64) Exponential and trigonometric functions (33B10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(p\)-adic and real subanalytic sets
- Stability under integration of sums of products of real globally subanalytic functions and their logarithms
- Resolution of singularities, asymptotic expansions of integrals and related phenomena
- First order tameness of measures
- Newton polyhedra and estimation of oscillating integrals
- Intégration des fonctions sous-analytiques et volumes des sous-ensembles sous-analytiques. (Integration of subanalytic functions and volumes of subanalytic subspaces)
- The elementary theory of restricted analytic fields with exponentiation
- Théorème de préparation pour les fonctions logarithmico-exponentielles. (Preparation theorem for logarithmico-exponential functions)
- Log-analytic nature of the volume of subanalytic sets
- Integration of oscillatory and subanalytic functions
- Asymptotic expansions of logarithmic-exponential functions
- A generic condition implying o-minimality for restricted \(C^\infty\)-functions
- The Field of Reals with Multisummable Series and the Exponential Function
- Loci of Integrability, Zero Loci, and Stability Under Integration for Constructible Functions on Euclidean Space with Lebesgue Measure
- Intégrales asymptotiques et monodromie
- The real field with convergent generalized power series
- The Pfaffian closure of an o-minimal structure
- Lipschitz stratification of subanalytic sets
- Logarithmic-Exponential Power Series
- Quasianalytic Denjoy-Carleman classes and o-minimality
- Tame topology of arithmetic quotients and algebraicity of Hodge loci
- Quasi-analytic solutions of analytic ordinary differential equations and o-minimal structures
- Resolution of Singularities and Division of Distributions
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