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arxiv: 1507.03569 · v2 · pith:XQQQ2X66new · submitted 2015-07-13 · 🧮 math-ph · math.DG· math.MP· math.RT

The Segal--Bargmann transform for odd-dimensional hyperbolic spaces

classification 🧮 math-ph math.DGmath.MPmath.RT
keywords odd-dimensionalhyperbolicsegal--bargmannspacestransformcasedevelopdual
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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.

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