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Article

The Segal–Bargmann Transform for Odd-Dimensional Hyperbolic Spaces

by 1,*,† and 2,†
1
Department of Mathematics, University of Notre Dame, 255 Hurley Hall, Notre Dame, IN 46556, USA
2
Department of Mathematics, Robert Morris University, 6001 University Boulevard, Moon Township, PA 15108, USA
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editor: Palle E.T. Jorgensen
Mathematics 2015, 3(3), 758-780; https://doi.org/10.3390/math3030758
Received: 7 July 2015 / Revised: 7 August 2015 / Accepted: 10 August 2015 / Published: 18 August 2015
(This article belongs to the Special Issue Mathematical physics)
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. View Full-Text
Keywords: Segal–Bargmann transform; heat kernel; hyperbolic space; spherical function Segal–Bargmann transform; heat kernel; hyperbolic space; spherical function
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MDPI and ACS Style

Hall, B.C.; Mitchell, J.J. The Segal–Bargmann Transform for Odd-Dimensional Hyperbolic Spaces. Mathematics 2015, 3, 758-780. https://doi.org/10.3390/math3030758

AMA Style

Hall BC, Mitchell JJ. The Segal–Bargmann Transform for Odd-Dimensional Hyperbolic Spaces. Mathematics. 2015; 3(3):758-780. https://doi.org/10.3390/math3030758

Chicago/Turabian Style

Hall, Brian C., and Jeffrey J. Mitchell 2015. "The Segal–Bargmann Transform for Odd-Dimensional Hyperbolic Spaces" Mathematics 3, no. 3: 758-780. https://doi.org/10.3390/math3030758

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