8 citations · 26 across the 12 of their papers we have counts for
6 papers · 1 filter
Decay of Fourier transforms and analytic continuation of power-constructible functions
Georges Comte, Dan J. Miller, Tamara Servi
For a subfield K of C, we denote by C^K the category of algebras of functions defined on the globally subanalytic sets that are generated by all K-powers and logarithms of positive…
Analytic holonomicity of real C-class distributions
Avraham Aizenbud, Raf Cluckers, Michel Raibaut +1
We introduce a notion of distributions on , called distributions of C-class, based on wavelet transforms of distributions and the theory from Clucker…
Mellin transforms of power-constructible functions
Raf Cluckers, Georges Comte, Jean-Philippe Rolin +1
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…
Integration of Oscillatory and Subanalytic Functions
Raf Cluckers, Georges Comte, Daniel J. Miller +2
We prove the stability under integration and under Fourier transform of a concrete class of functions containing all globally subanalytic functions and their complex exponentials.…
Multivariable Newton-Puiseux Theorem for Generalised Quasianalytic Classes
Tamara Servi
We show how to solve explicitly an equation satisfied by a real function belonging to certain general quasianalytic classes. Examples of the classes under consideration are the col…
Quantifier Elimination and Rectilinearisation Theorem for Generalised Quasianalytic Algebras
Jean-Philippe Rolin, Tamara Servi
An algebra of germs of real functions is generalised quasianalytic if to each element of the algebra we can associate, injectively, a power series with nonnegative real exponents.…