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- Centre National de la Recherche ScientifiqueFR462 papers
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22 papers · 1 filter
A sharpened Carlson's integral inequality
Philippe Laurençot
A sharpened version of Carlson's integral inequality is established, which features a remainder term involving a relative distance to the set of extremal functions. A similar appro…
Prevalent smoothness in inhomogeneous Besov spaces
Quentin Rible
In this article, we prove that, under some assumptions on the so-called environment, prevalent functions in inhomogeneous Besov spaces recently introduced by Barral-Seuret in 2023…
Global Solutions to the Discrete Nonlinear Breakage Equations without Mass Transfer
Mashkoor Ali, Philippe Laurençot
Global existence of mild solutions to the discrete collisional breakage equations is established for a broad class of collision kernels, without imposing any growth assumptions. In…
-variational H{ö}rmander functional calculus and Schr{ö}dinger and wave maximal estimates
Luc Deleaval, Christoph Kriegler
This article is the continuation of the work [DK] where we had proved maximal estimates for sectorial o…
Parametric Fourier and Mellin transforms of power-constructible functions
Raf Cluckers, Georges Comte, Tamara Servi
We enrich the class of power-constructible functions, introduced in [CCRS23], to a class of algebras of functions which contains all complex powers of subanalytic functions, their…
Characterization of p-exponents by continuous wavelet transforms, applications to the multifractal analysis of sum of random pulses
Guillaume Saës
The theory of orthonormal wavelet bases is a useful tool in multifractal analysis, as it provides a characterization of the different exponents of pointwise regularities (H{ö}lder,…