The heat kernel transform on a Riemannian symmetric space G/K maps an L 2-function on G/K to a holomorphic function on the complex crown. In this article we determine the range of this transform on L… (More)

Akhiezer and Gindikin [AG90] proposed the existence of a natural complexification of a Riemannian symmetric space of noncompact type, G/K . They sought a complex G-space with proper G action and… (More)

Let G be a connected, real, semisimple Lie group contained in its complexification GC , and let K be a maximal compact subgroup of G . We construct a KC -G double coset domain in GC , and we show… (More)

Let G be a compact connected semisimple Lie group. Fix a maximal torus T and denote its Lie algebra by Ï. The irreducible unitary representations of G are indexed by a semilattice L of dominant… (More)

The heat kernel transform on G/K, a Riemannian symmetric space of noncompact type, maps an L-function on G/K to a holomorphic function on the complex crown. In this article we determine the image of… (More)

Letk be a field of characteristic not 2 or3. LetV be thek-space of binary cubic polynomials. The natural symplectic structure on k promotes to a symplectic structure ω onV and from the natural… (More)