The Hilbert-Schmidt analyticity associated with infinite-dimensional unitary groups
arXiv:1502.05148 · doi:10.1007/s00025-016-0549-4
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.
14 pages