3 citations · 4 across the 5 of their papers we have counts for
5 papers
Some exact constants for bilateral approximations in quasi-normed groups
Oleh Lopushansky
We establish inverse and direct theorems on best approximations in quasi-normed Abelian groups through bilateral Bernstein-Jackson inequalities with exact constants. Using integral…
Weyl-Schrödinger representations of Heisenberg groups in infinite dimensions
Oleh Lopushansky
A complexified Heisenberg matrix group with entries from an infinite-dimensional Hilbert space is investigated. The Weyl--Schrödinger type irreducible r…
Weyl-Schrödinger representations of infinite-dimensional Heisenberg groups on symmetric Wiener spaces
Oleh Lopushansky
We investigate the group of complexified Heisenberg matrices with entries from an infinite-dimensional complex Hilbert space . Irreducible representatio…
Paley-Wiener isomorphism over infinite-dimensional unitary groups
Oleh Lopushansky
An analog of the Paley-Wiener isomorphism for the Hardy space with an invariant measure over infinite-dimensional unitary groups is described. This allows us to investigate on such…
The Hilbert-Schmidt analyticity associated with infinite-dimensional unitary groups
Oleh Lopushansky
The article is devoted to the problem of Hilbert-Schmidt type analytic extensions in Hardy spaces over the infinite-dimensional unitary matrix group endowed with an invariant proba…