The unitary irreducible representations of SL(2, R) in all subgroup reductions
- 1 February 1982
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 23 (2) , 189-205
- https://doi.org/10.1063/1.525337
Abstract
We use the canonical transform realization of SL(2, R) in order to find all matrix elements and integral kernels for the unitary irreducible representations of this group. Explicit results are given for all mixed bases and subgroup reductions. These provide the full multiparameter set of integral transforms and series expansions associated to SL(2, R).Keywords
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