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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…