6 citations · 7 across the 2 of their papers we have counts for
7 papers
The Segal--Bargmann transform for odd-dimensional hyperbolic spaces
Brian C. Hall, Jeffrey J. Mitchell
We develop isometry and inversion formulas for the Segal--Bargmann transform on odd-dimensional hyperbolic spaces that are as parallel as possible to the dual case of odd-dimension…
Coherent states for a 2-sphere with a magnetic field
Brian C. Hall, Jeffrey J. Mitchell
We consider a particle moving on a 2-sphere in the presence of a constant magnetic field. Building on earlier work in the nonmagnetic case, we construct coherent states for this sy…
The Segal-Bargmann transform for compact quotients of symmetric spaces of the complex type
Brian C. Hall, Jeffrey J. Mitchell
Let G/K be a Riemannian symmetric space of the complex type, meaning that G is complex semisimple and K is a compact real form. Now let Γ be a discrete subgroup of G that acts free…
Isometry theorem for the Segal-Bargmann transform on noncompact symmetric spaces of the complex type
Brian C. Hall, Jeffrey J. Mitchell
We consider the Segal-Bargmann transform for a noncompact symmetric space of the complex type. We establish isometry and surjectivity theorems for the transform, in a form as paral…
The Segal-Bargmann transform for noncompact symmetric spaces of the complex type
Brian C. Hall, Jeffrey J. Mitchell
We consider the generalized Segal-Bargmann transform, defined in terms of the heat operator, for a noncompact symmetric space of the complex type. For radial functions, we show tha…
The large radius limit for coherent states on spheres
Brian C. Hall, Jeffrey J. Mitchell
This paper concerns the coherent states on spheres studied by the authors in [J. Math. Phys. 43 (2002), 1211-1236]. We show that in the odd-dimensional case the coherent states on…