The Hilbert-Schmidt analyticity associated with infinite-dimensional unitary groups
Functional Analysis
2017-11-21 v2
Abstract
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 probability measure. An orthogonal basis of Hilbert-Schmidt polynomials, reproducing kernels, integral formulas and boundary values are investigated.
Cite
@article{arxiv.1502.05148,
title = {The Hilbert-Schmidt analyticity associated with infinite-dimensional unitary groups},
author = {Oleh Lopushansky},
journal= {arXiv preprint arXiv:1502.05148},
year = {2017}
}
Comments
14 pages