Published January 1, 2001 | Version v1
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Representations of SU(1,1) in non-commutative space generated by the Heisenberg algebra

Description

SU(1, 1) is considered as the automorphism group of the Heisenberg algebra H. The basis in the Hilbert space K of functions on H on which the irreducible representations of the group are realized is explicitly constructed. From group theoretical considerations summation formulae for the product of two, three and four hypergeometric functions are derived.

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