We extend an uncertainty principle due to Beurling into a characterization of Hermite functions. More precisely, all functions f on R which may be written as P (x) exp(Ax, x), with A a real symmetricâ€¦ (More)

Let {Fn : n > 1} be a normalized sequence of random variables in some fixed Wiener chaos associated with a general Gaussian field, and assume that E[F 4 n ] â†’ E[N4] = 3, where N is a standardâ€¦ (More)

We give a new proof and provide new bounds for the speed of convergence in the Central Limit Theorems of Breuer Major on stationary Gaussian time series, which generalizes to particular triangularâ€¦ (More)

Although the classical Fractional Brownian Motion is often used to describe porosity, it is not adapted to anisotropic situations. In the present work, we introduce anisotropic Gaussian elds withâ€¦ (More)

We study the boundedness properties of truncation operators acting on bounded Hankel (or Toeplitz) infinite matrices. A relation with the Lacey-Thiele theorem on the bilinear Hilbert transform isâ€¦ (More)

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching andâ€¦ (More)

In this paper we investigate the regularity properties of weighted Bergman projections for smoothly bounded pseudo-convex domains of finite type in C. The main result is obtained for weights equal toâ€¦ (More)