The Classical Hankel Transform In The Kirillov Model

Details The Classical Hankel Transform In The Kirillov Model The Classical Hankel Transform In The Kirillov Model

2010-10-25

arxiv.org/abs/1010.5184v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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).

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