Unitary representations of the two-dimensional Euclidean group in the Heisenberg algebra
H. Ahmedov, I. H. Duru · Journal of Physics A Mathematical and General · 2000
E (2) is studied as the automorphism group of the Heisenberg algebra H . The basis in the Hilbert space K of functions on H on which the unitary irreducible representations of the group are realized is explicitly constructed. The addition theorem for the Kummer functions is derived.