most citedThe Basic Representation of the Current Group O(n,1)^X in the L^2 space over the generalized Lebesgue Measure

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math.RT2006★ 1 cited

The structure of complementary series and special representations

M. I. Graev, A. M. Vershik

We give a survey of several models of irreducible complementary series representations and their limits, special representations, for the groups SU(n,1) and SO(n,1), including new…

math.RT2005★ 1 cited

The Basic Representation of the Current Group O(n,1)^X in the L^2 space over the generalized Lebesgue Measure

A. M. Vershik, M. I. Graev

We give the realization of the representation of the current group O(n,1)^X where X is a manifold, in the Hilbert space of L^2(F,ν) of functionals on the the space F of the general…