4 papers · 1 filter
Spherical Functions on Euclidean Space
Joseph A. Wolf
We study special functions on euclidean spaces from the viewpoint of riemannian symmetric spaces. Here the euclidean space where is the semidirect product $R^n \cdo…
Principal Series Representations of Direct Limit Groups
Joseph A. Wolf
We combine the geometric realization of principal series representations of the author, with the Bott--Borel--Weil Theorem for direct limits of compact groups of Natarajan, Rodrigu…
Injectivity of the Double Fibration Transform for Cycle Spaces of Flag Domains
Alan T. Huckleberry, Joseph A. Wolf
The basic setup consists of a complex flag manifold where is a complex semisimple Lie group and is a parabolic subgroup, an open orbit where…
Cycle Spaces of Flag Domains: A Complex Geometric Viewpoint
Alan T. Huckleberry, Joseph A. Wolf
This is a survey of history, methods and developments in the theory of cycle spaces of flag domains, and new results on double fibration transforms and their applications.