Geodesic
Projections of orbital measures for classical Lie groups
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 3, pp. 76-81

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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. 
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     author = {D. Zubov},
     title = {Projections of orbital measures for classical {Lie} groups},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {76--81},
     publisher = {mathdoc},
     volume = {50},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2016_50_3_a6/}
}
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D. Zubov. Projections of orbital measures for classical Lie groups. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 3, pp. 76-81. http://geodesic.mathdoc.fr/item/FAA_2016_50_3_a6/