The representation matrix elements of the group O+(2,2)

Making use of the isomorphism of O+(2,2) with the direct product O+(2,1)×O+(2,1), the matrix elements of O+(2,2) in its unitary irreducible representations are explicitly calculated in terms of Euler angles introduced in a previous paper. The expressions so obtained consist of infinite sums of product of Clebsch–Gordan coefficients and Bargmann’s v functions, both for the group O+(2,1).