Paley-Wiener isomorphism over infinite-dimensional unitary groups
Functional Analysis
2017-11-21 v2
Abstract
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 space the shift and multiplicative groups, as well as, their generators and intertwining operators. We show applications to the Gauss-Weierstrass semigroups and to the Weyl-Schr\"odinger irreducible representations of complexified infinite-dimensional Heisenberg groups.
Cite
@article{arxiv.1702.01881,
title = {Paley-Wiener isomorphism over infinite-dimensional unitary groups},
author = {Oleh Lopushansky},
journal= {arXiv preprint arXiv:1702.01881},
year = {2017}
}
Comments
14 pages