T. Kobayashi and G. Mano,

*Integral formulas for the minimal
representations for O*(*p*, 2),

Acta Appl. Math.**86** (2005),
103-113..

Acta Appl. Math.

The minimal representation π ofO(p,q) (p+q: even) is realized on the Hilbert space of square integrable functions on the conical subvariety ofR^{p+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 certain semigroup ofO(p+2,C) of the minimal representation ofO(p, 2) by using Bessel functions.

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The original publication is available at www.springerlink.com.

© Toshiyuki Kobayashi