6 citations · 11 across the 3 of their papers we have counts for
5 papers
Local behavior of traces of Besov functions: Prevalent results
Jean-Marie Aubry, Delphine Maman, Stéphane Seuret
Let and satisfying , , . In this article we study the global and local regularity properties of trac…
State estimation in quantum homodyne tomography with noisy data
Jean-Marie Aubry, Cristina Butucea, Katia Méziani
In the framework of noisy quantum homodyne tomography with efficiency parameter , we propose two estimators of a quantum state whose density matrix elements …
Advanced topology on the multiscale sequence spaces S^ν
Jean-Marie Aubry, Françoise Bastin
We pursue the study of the multiscale spaces introduced by Jaffard in the context of multifractal analysis. We give the necessary and sufficient condition for to be loc…
Ultrarapidly decreasing ultradifferentiable functions, Wigner distributions and density matrices
Jean-Marie Aubry
Spaces of ultradecreasing ultradifferentiable (or for short, ultra-S) functions, depending on a weight , are introduced in the context of quantu…
Random Wavelet Series: Theory and Applications
Jean-Marie Aubry, Stéphane Jaffard
Random Wavelet Series form a class of random processes with multifractal properties. We give three applications of this construction. First, we synthesize a random function having…