In this note, we obtain a recursive formula for the spherical functions associated with the symmetric cone of a formally real Jordan algebra. We use this formula as an inspiration for a similarâ€¦ (More)

Let G be a semisimple noncompact Lie group with finite center and K a maximal compact subgroup of G and X = G/K the corresponding Riemannian symmetric space of noncompact type. We have a Cartanâ€¦ (More)

In this paper, we prove the existence of the product formula for the spherical functions on symmetric spaces of noncompact type. To this end, we study the analyticity properties of the Cartanâ€¦ (More)

1990 8th International Conference on High-Powerâ€¦

1990

A new diagnostic package has been developed for the Sandia National Laboratories' PBFA-II accelerator. The package-which emphasizes off-axis Rutherford-scattering measurements-includes the following:â€¦ (More)

We study the absolute continuity of the convolution Î´ eX â‹† Î´ eY of two orbital measures on the symmetric space SO0(p, q)/SO(p) Ã— SO(q), q > p. We prove sharp conditions on X, Y âˆˆ a for the existenceâ€¦ (More)

In the Preface, J. C. Taylor explains that while the book was initially intended as a loose proceedings for a seminar he organized in 1992, it evolved into something quite different. As a result,â€¦ (More)

In [7], Genkai Zhang gives the asymptotic expansion for the spherical functions on symmetric cones. This is done to prove a central limit theorem for these spaces. The work of Zhang is a naturalâ€¦ (More)