Admissible vectors and Hilbert algebras
Functional Analysis
2019-11-12 v2 Operator Algebras
Abstract
Admissible vectors for unitary representations of locally compact groups are the basis for group-frame and covariant coherent state expansions. Main tools in the study of admissible vectors have been Plancherel and central integral decomposition, of applicability only under certain separability and semifiniteness restrictions. In this work we present a study of admissible vectors in terms of convolution Hilbert algebras valid for arbitrary unitary representations of general locally compact groups.
Cite
@article{arxiv.1812.00092,
title = {Admissible vectors and Hilbert algebras},
author = {F. Gómez-Cubillo and S. Wickramasekara},
journal= {arXiv preprint arXiv:1812.00092},
year = {2019}
}