An inversion formula for the Segal–Bargmann transform on a symmetric space of non-compact type |
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| Authors: | Matthew B. Stenzel |
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| Affiliation: | aOhio State University, Newark, 1179 University Drive, Newark, OH 43055, USA |
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| Abstract: | We prove analogs of the heat kernel transform inversion formulae of Golse, Leichtnam and the author [E. Leichtnam, F. Golse, M. Stenzel, Intrinsic microlocal analysis and inversion formulae for the heat equation on compact real-analytic Riemannian manifolds, Ann. Sci. École Norm. Sup. (4) 29 (6) (1996) 669–736. MR1422988 (97h:58153), Theorems 0.3, 0.4] in the setting of a Riemannian symmetric space of Helgason's non-compact type. |
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| Keywords: | Segal– Bargmann transform Heat kernel Non-compact symmetric space Fourier– Bros– Iagolnitzer transform |
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