A Poisson type formula for Hardy classes on Heisenberg's group

O. V. Lopushansky, M. V. Oleksienko


The Hardy type class of complex functions with infinite many variables defined on the Schrodinger irreducible unitary orbit of reduced Heisenberg group, generated by the Gauss density, is investigated. A Poisson integral type formula for their analytic extensions on an open ball is established. Taylor coefficients for analytic extensions are described by the associated
symmetric Fock space.

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