Email this article Projections of orbital measures for classical Lie groups
- Authors: Zubov D.I.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 50, No 3 (2016)
- Pages: 228-232
- Section: Brief Communications
- URL: https://journal-vniispk.ru/0016-2663/article/view/234213
- DOI: https://doi.org/10.1007/s10688-016-0151-2
- ID: 234213
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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.
About the authors
D. I. Zubov
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: dmitry.zubov.93@gmail.com
Russian Federation, Moscow
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