A. O. Chaib

collaborators

2 papers

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.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…

A characterization of the L2-range of the Poisson transforms on a class of vector bundles over the quaternionic hyperbolic spaces

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

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