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arXiv · 1502.05148

The Hilbert-Schmidt analyticity associated with infinite-dimensional unitary groups

Oleh Lopushansky
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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.

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Oleh Lopushansky. 2015-02-18. The Hilbert-Schmidt analyticity associated with infinite-dimensional unitary groups. https://doi.org/10.1007/s00025-016-0549-4

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