3 papers
math.RT2015
The $\ct$ transform on line bundles over compact Hermitian symmetric spaces
Vivian M. Ho, Gestur Olafsson
In a previous article the second author together with A. Pasquale determined the spectrum of the transform on smooth functions on the Grassmann manifolds . This…
math.CA2015
An application of hypergeometric shift operators to the chi-spherical Fourier transform
Vivian M. Ho, G. Olafsson
We study the action of hypergeometric shift operators on the Heckman-Opdam hypergeometric functions associated with the type root system and some negative multiplicities. Th…
math.RT2014
Paley-Wiener Theorem for Line Bundles over Compact Symmetric Spaces and New Estimates for the Heckman-Opdam Hypergeometric Functions
Vivian M. Ho, Gestur Olafsson
Paley-Wiener type theorems describe the image of a given space of functions, often compactly supported functions, under an integral transform, usually a Fourier transform on a grou…