A Poisson type formula for Hardy classes on Heisenberg's group
Array
Keywords:
infinite dimensional holomorphy, Poisson kernel, Heisenberg groupAbstract
The Hardy type class of complex functions with infinite many variables defined on the Schrödinger 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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Published
2010-06-30
How to Cite
(1)
Lopushansky, O.; Oleksienko, M. A Poisson Type Formula for Hardy Classes on Heisenberg’s Group: Array. Carpathian Math. Publ. 2010, 2, 87-95.
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Scientific articles