Functions on Symmetric Spaces and Oscillator Representations
Representation Theory
2022-01-03 v3 Group Theory
Abstract
We study square integrable functions on the metaplectic group and functions on the space of unitary symmetric matrices. We relate them using the oscillator representations.
Keywords
Cite
@article{arxiv.math/0605595,
title = {Functions on Symmetric Spaces and Oscillator Representations},
author = {Hongyu He},
journal= {arXiv preprint arXiv:math/0605595},
year = {2022}
}
Comments
25 pages, to appear in Journal of Functional Analysis