The Segal–Bargmann Transform for Odd-Dimensional Hyperbolic Spaces

Mathematics

Brian C. Hall¹  Jeffrey J. Mitchell² 

[1] Department of Mathematics, University of Notre Dame, 255 Hurley Hall, Notre Dame, IN 46556, USA;Department of Mathematics, Robert Morris University, 6001 University Boulevard, Moon Township, PA 15108, USA; E-Mail:

关键词: Segal–Bargmann transform;    heat kernel;    hyperbolic space;    spherical function;   

DOI  :  10.3390/math3030758

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.