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


  • O.V. Lopushansky University of Rzeszow, 1 Prof. St. Pigonia str., 35-310, Rzeszow, Poland
  • M.V. Oleksienko Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova str., 79060, Lviv, Ukraine


infinite dimensional holomorphy, Poisson kernel, Heisenberg group
Published online: 2010-06-30


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.

How to Cite
Lopushansky, O.; Oleksienko, M. A Poisson Type Formula for Hardy Classes on Heisenberg’s Group. Carpathian Math. Publ. 2010, 2, 87-95.