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Projections of orbital measures for classical Lie groups

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Abstract

In this paper we compute the radial parts of the projections of orbital measures for the compact Lie groups of B, C, and D type, extending previous results obtained for the case of the unitary group by Olshanski and Faraut. Applying the method of Faraut, we show that the radial part of the projection of an orbital measure is expressed in terms of a B-spline with knots located symmetrically with respect to zero.

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References

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

    D. I. Zubov

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  1. D. I. Zubov
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Correspondence to D. I. Zubov.

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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 50, No. 3, pp. 76–81, 2016 Original Russian Text Copyright © by D. I. Zubov

This work is supported by the Russian Science Foundation under grant 14-50-00005.

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Zubov, D.I. Projections of orbital measures for classical Lie groups. Funct Anal Its Appl 50, 228–232 (2016). https://doi.org/10.1007/s10688-016-0151-2

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  • DOI: https://doi.org/10.1007/s10688-016-0151-2

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