Parametric Fourier and Mellin transforms of power-constructible functions
DOI10.1017/FMS.2024.128MaRDI QIDQ6646840
Georges Comte, Tamara Servi, Raf Cluckers
Publication date: 3 December 2024
Published in: Forum of Mathematics, Sigma (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
- Title not available (Why is that?)
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- Ax-Schanuel for the \(j\)-function
- Integration of semialgebraic functions and integrated Nash functions
- \(p\)-adic and real subanalytic sets
- Stability under integration of sums of products of real globally subanalytic functions and their logarithms
- Asymptotic expansions of Fourier transforms of functions with logarithmic singularities
- 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)
- Über die Gleichverteilung von Zahlen mod. Eins.
- Oscillatory integrals and phenomena beyond all algebraic orders with applications to homoclinic orbits in reversible systems
- Log-analytic nature of the volume of subanalytic sets
- Integration of oscillatory and subanalytic functions
- O-minimal structures and real analytic geometry
- On the preparation theorem for subanalytic functions
- Loci of Integrability, Zero Loci, and Stability Under Integration for Constructible Functions on Euclidean Space with Lebesgue Measure
- Lipschitz stratification of subanalytic sets
- A preparation theorem for Weierstrass systems
- Mellin transforms of power-constructible functions
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