Rayleigh triangles and non-matrix interpolation of matrix beta-integrals
Classical Analysis and ODEs
2012-11-27 v1 Mathematical Physics
math.MP
Abstract
We interpolate matrix beta-integrals of Siegel, Hua Loo Keng and Gindikin types with respect to dimension of the field. The domain of integration (Rayleigh triangles) imitates collections of all the eigenvalues of all the principal minors of a self-adjoint matrix. We also interpolate the Hua--Pickrell measures on inverse limits of symmetric spaces. Our family of integrals also contains the Selberg integral.
Cite
@article{arxiv.math/0301070,
title = {Rayleigh triangles and non-matrix interpolation of matrix beta-integrals},
author = {Yurii A. Neretin},
journal= {arXiv preprint arXiv:math/0301070},
year = {2012}
}
Comments
28 pages