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Funktsional'nyi Analiz i ego Prilozheniya, 2016, Volume 50, Issue 3, Pages 76–81
DOI: https://doi.org/10.4213/faa3250 (Mi faa3250) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

Projections of orbital measures for classical Lie groups

D. Zubov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (172 kB) Citations (3)
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DOI: https://doi.org/10.4213/faa3250
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.
Keywords: orbital measures, B-splines, divided differences, Harish-Chandra–Itzykson–Zuber integral.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: 17.01.2016
English version:
Functional Analysis and Its Applications, 2016, Volume 50, Issue 3, Pages 228–232
DOI: https://doi.org/10.1007/s10688-016-0151-2
Bibliographic databases:
Document Type: Article
UDC: 512.81
Language: Russian
Citation: D. Zubov, “Projections of orbital measures for classical Lie groups”, Funktsional. Anal. i Prilozhen., 50:3 (2016), 76–81; Funct. Anal. Appl., 50:3 (2016), 228–232
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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