2 papers
math.CA2003
Rayleigh triangles and non-matrix interpolation of matrix beta-integrals
Yurii A. Neretin
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 coll…
math.CA2001
Index hypergeometric transform and imitation of analysis of Berezin kernels on hyperbolic spaces
Yurii Neretin
We discuss properties of the index hypergeometric transform (it is named also the Jacobi transform or the Olevsky transform) interpolating analysis of Berezin kernels on rank 1 sym…