The Segal--Bargmann transform for odd-dimensional hyperbolic spaces
Mathematical Physics
2015-08-28 v2 Differential Geometry
math.MP
Representation Theory
Abstract
We develop isometry and inversion formulas for the Segal--Bargmann transform on odd-dimensional hyperbolic spaces that are as parallel as possible to the dual case of odd-dimensional spheres.
Cite
@article{arxiv.1507.03569,
title = {The Segal--Bargmann transform for odd-dimensional hyperbolic spaces},
author = {Brian C. Hall and Jeffrey J. Mitchell},
journal= {arXiv preprint arXiv:1507.03569},
year = {2015}
}
Comments
To appear in Mathematics