9 citations · 17 across the 6 of their papers we have counts for
7 papers
Fourier decay of Gaussian multiplicative chaos and boundary geometry
Marcu-Antone Orsoni, William Verreault
In this paper, we develop a new approach to studying the Fourier transform of Gaussian multiplicative chaos. We determine the Fourier dimension of these random measures on tori for…
Identifying Bergman space functions from intervals
Andreas Hartmann, Marcu-Antone Orsoni
We characterize functions of a Bergman space on a square by their values and derivatives on the diagonals. This problem is connected with the reachable space of the one-dimensional…
On the dimension of observable sets for the heat equation
A. Walton Green, Kévin Le Balc'h, Jérémy Martin +1
We consider the heat equation on a bounded domain in with Dirichlet boundary conditions. The primary aim of this paper is to prove that the heat equation is ob…
Reachable space of the Hermite heat equation with boundary control
Andreas Hartmann, Marcu-Antone Orsoni
We discuss reachable states for the Hermite heat equation on a segment with boundary -controls. The Hermite heat equation corresponds to the heat equation to which a quadratic…
Separation of singularities for the Bergman space and application to control theory
Andreas Hartmann, Marcu-Antone Orsoni
In this paper, we solve a separation of singularities problem in the Bergman space. More precisely, we show that if is a convex polygon which is the intersect…
Sampling constants in generalized Fock spaces
S Konate, Marcu-Antone Orsoni
We prove several results related to a Logvinenko-Sereda type theorem on dominating sets for generalized doubling Fock spaces. In particular, we give a precise polynomial dependence…
Reachable states and holomorphic function spaces for the 1-D heat equation
Marcu-Antone Orsoni
The description of the reachable states of the heat equation is one of the central questions in control theory. The aim of this work is to present new results for the 1-D heat equa…