TY - JOUR
AU - Lopushansky, O.V.
AU - Oleksienko, M.V.
PY - 2010/06/30
Y2 - 2024/11/10
TI - A Poisson type formula for Hardy classes on Heisenberg's group
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 2
IS - 1
SE - Scientific articles
DO -
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/3995
SP - 87-95
AB - <p>The Hardy type class of complex functions with infinite many variables defined on the SchrÃ¶dinger 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.</p>
ER -