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• W1639719686 abstract "The minimal representation $pi$ of the indefinite orthogonal group $O(m+1,2)$ is realized on the Hilbert space of square integrable functions on $mathbb R^m$ with respect to the measure $|x|^{-1} dx_1... dx_m$. This article gives an explicit integral formula for the holomorphic extension of $pi$ to a holomorphic semigroup of $O(m+3, mathbb C)$ by means of the Bessel function. Taking its `boundary value', we also find the integral kernel of the `inversion operator' corresponding to the inversion element on the Minkowski space $mathbb R^{m,1}$." @default.
• W1639719686 created "2016-06-24" @default.
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• W1639719686 creator A5055674371 @default.
• W1639719686 date "2007-11-01" @default.
• W1639719686 modified "2023-09-27" @default.
• W1639719686 title "THE INVERSION FORMULA AND HOLOMORPHIC EXTENSION OF THE MINIMAL REPRESENTATION OF THE CONFORMAL GROUP" @default.
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• W1639719686 doi "https://doi.org/10.1142/9789812770790_0006" @default.
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