A. Boussejra

activity

20062025

most citedCoherent states quantization of generalized bergman spaces on the unit ball of cn with a new formula for their associated berezin transforms

1 citations · 2 across the 10 of their papers we have counts for

collaborators

10 papers

math.RT2025

Strichartz's conjecture for the spinor bundle over the real hyperbolic space

Abdelhamid Boussejra, Khalid Koufany

Let $H^{n} (R)$ denote the real hyperbolic space realized as the symmetric space $S p i n_{0} (1, n) / S p in (n)$ . In this paper, we provide a characterization for the image of the Poiss…

math.RT2024

A characterization of the $L^{2}$ -range of the generalized spectral projections related to the Hodge-de Rham Laplacian

Abdelhamid Boussejra, Khalid Koufany

Let $H^{n} (R)$ be the real hyperbolic space. In this paper, we present a characterization of the $L^{2}$ -range of the generalized spectral projections on the bundle of differen…

math.RT2023

A characterization of the $L^{2}$ -range of the Poisson transforms on a class of vector bundles over the quaternionic hyperbolic spaces

Abdelhamid Boussejra, Achraf Ouald Chaib

We study the $L^{2}$ -boundedness of the Poisson transforms associated to the homogeneous vector bundles $S p (n, 1) \times_{S p (n) \times S p (1)} V_{τ}$ over the quaternionic hyperbolic spac…

math.RT2021

On Poisson transforms of differential forms on real hyperbolic spaces

Salem Bensaïd, Abdelhamid Boussejra, Khalid Koufany

This paper is concerned with the Poisson transform of differential forms on the hyperbolic space $H^{n} (R)$ . Consider an integer $p$ such that $1 ⩽ p ⩽ n$ and l…

math.RT2019

The Strichartz conjecture for the Poisson transform on homogeneous line bundles over Noncompact Complex Grassmann manifolds

Abdelhamid Boussejra, Noureddine Imesmad, Achraf Ouald Chaib

Let $X=G/K$ be a noncompact complex Grassmann manifold of rank $r$. Let $τ_l$ be a character of $K$, $G\times_P{\C}$ and $G\times_K{\C}$ the homogeneous line bundles as…

math.RT2019

L^p-Poisson integral representations of the generalized Hua operators on line bundles over SU(n,n)/S(U(n)xU(n))

Abdelhamid Boussejra, Nadia Ourchane

Let $τ_{ν}$ ( $ν \in Z$ ) be a character of $K = S (U (n) \times U (n))$ , and $S U (n, n) \times_{K} C$ the associated homogeneous line bundle over $\mathcal{D}=\{Z\in M(n,\mathbb{…