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- W1645883031 abstract "We present various relations among Versions A, B and C of the Segal-Bargmann transform. We get results for the Segal-Bargmann transform associated to a Coxeter group acting on a finite-dimensional Euclidean space. Then analogous results are shown for the Segal-Bargmann transform of a connected, compact Lie group for all except one of the identities established in the Coxeter case. A counterexample is given to show that the remaining identity from the Coxeter case does not have an analogous identity for the Lie group case. A major result is that in both contexts the Segal-Bargmann transform for Version C is determined by that for Version A." @default.
- W1645883031 created "2016-06-24" @default.
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- W1645883031 date "2012-01-01" @default.
- W1645883031 modified "2023-09-27" @default.
- W1645883031 title "Relations Among Various Versions of the Segal-Bargmann Transform" @default.
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- W1645883031 doi "https://doi.org/10.1007/978-3-0348-0346-5_19" @default.
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