most citedLandau (Γ,χ)-automorphic functions on \mathbb{C}^n of magnitude ν

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math.SP2011

An integral representation for Folland's fundamental solution of the sub-Laplacian on Heisenberg groups

Allal Ghanmi, Zouhaïr Mouayn

We prove that the Folland's fundamental solution for the sub-Laplacian on Heisenberg groups can also be derived form the resolvent kernel of this sub-Laplacian. This provides us wi…

math.SP2011

A Formula representing magnetic Berezin transforms on the Bergman ball of $\C^n$ as functions of the Laplace-Beltrami operator

Allal Ghanmi, Zouhair Mouayn

We give a formula that represents magnetic Berezin transforms associated with generalized Bergman spaces as functions of the Laplace-Beltrami operator on the Bergman ball. In parti…

math.SP2007★ 15 cited

Landau (Γ,χ)-automorphic functions on \mathbb{C}^n of magnitude ν

Allal Ghanmi, Ahmed Intissar

We investigate the spectral theory of the invariant Landau Hamiltonian $\La^ν$ acting on the space of -automotphic functions on $\C^n$, for given rea…