The Classical Hankel Transform In The Kirillov Model
Classical Analysis and ODEs
2010-10-26 v1
Abstract
We give a new and simple proof of the Hankel inversion formula for the classical Hankel transform which holds for a complex order with real part greater than -1. Using the proof of this formula we obtain the full description of the Kirillov model for discrete series representations of SL(2,R) and GL(2,R).
Cite
@article{arxiv.1010.5184,
title = {The Classical Hankel Transform In The Kirillov Model},
author = {Ehud Moshe Baruch},
journal= {arXiv preprint arXiv:1010.5184},
year = {2010}
}