O. V. Lopushansky
orcid.org/0000-0002-9991-5547
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Hardy type spaces on infinite dimensional group orbits
O. V. Lopushansky, M. V. Oleksienko
MFAT 17 (2011), no. 3, 225-234
225-234
In Hilbert Hardy spaces of complex analytic functions with infinitely many variables, defined on unitary orbits of locally compact second countable group, the Cauchy type integral formulas are established. Existence of radial boundary values is proved. Results are illustrated for a reduced Heisenberg group.
A Hilbert space of functions of infinitely many variables
O. V. Lopushansky, A. V. Zagorodnyuk
MFAT 10 (2004), no. 2, 13-20
13-20