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math.AG2026
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…
math.AG2025
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…
math.AG2024
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…