The minimal representation π of O(p, q) (p + q: even) is realized on the Hilbert space of square integrable functions on the conical subvariety of Rp+q−2. This model presents a close resemblance of the Schrödinger model of the Segal-Shale-Weil representation of the metaplectic group. We shall give explicit integral formulas for the ‘inversion’ together with the analytic continuation to a certai...
