8 citations · 8 across the 2 of their papers we have counts for
5 papers · 1 filter
Maximum boundary regularity of bounded Hua-harmonic functions on tube domains
Aline Bonami, Dariusz Buraczewski, Ewa Damek +2
In this paper we prove that bounded Hua-harmonic functions on tube domains that satisfy some boundary regularity condition are necessarily pluriharmonic. In doing so, we show that…
Reconstruction of functions from their triple correlations
Philippe Jaming, Mihail N. Kolountzakis
Suppose that A is a subset of an abelian group G. To know the 3-deck of A is to know the number of occurences in A of translates of each possible multiset {0,a,b}. The concept of t…
Hermite functions and uncertainty principles for the Fourier and the windowed Fourier transforms
Aline Bonami, Bruno Demange, Philippe Jaming
We extend an uncertainty principle due to Beurling into a characterization of Hermite functions. More precisely, all functions on which may be written as $P(x)\exp (Ax,x…
Harmonic functions on the real hyperbolic ball II Hardy and Lipschitz spaces
Sandrine Grellier, Philippe Jaming
In this paper, we pursue the study of harmonic functions on the real hyperbolic ball started by the second named author. Our focus here is on the theory of Hardy, Hardy-Sobolev and…
Harmonic functions on the real hyperbolic ball I : Boundary values and atomic decomposition of Hardy spaces
Philippe Jaming
We study harmonic functions for the Laplace-Beltrami operator on the real hyperbolic ball. We obtain necessary and sufficient conditions for this functions and their normal derivat…