Matrix entries of irreducible unitary representations of the group ISO(n) (Q788127)

The author has found an expression of the matrix elements of irreducible unitary representations of the group ISO(n) (of the motions in the n- dimensional Euclidean space) through finite sums of Bessel functions and Clebsch-Gordan coefficients for S0(n). The proof makes use of the technique developed by \textit{A. V. Klimyk} in [''Matrix elements and Clebsch-Gordan coefficients for group representations'' 304 p. (Russian) (1979; Zbl 0412.22004)].