The Segal–Bargmann Transform for Odd-Dimensional Hyperbolic Spaces

Brian C. Hall and Jeffrey J. Mitchell
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Brian C. Hall: Department of Mathematics, University of Notre Dame, 255 Hurley Hall, Notre Dame, IN 46556, USA
Jeffrey J. Mitchell: Department of Mathematics, Robert Morris University, 6001 University Boulevard, Moon Township, PA 15108, USA

Mathematics, 2015, vol. 3, issue 3, 1-23

Abstract: 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-dimensional spheres.

Keywords: Segal–Bargmann transform; heat kernel; hyperbolic space; spherical function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2015
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