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Connection between the Plancherel formula and the Howe dual pair ()

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Abstract.

Let D be the bounded symmetric domain In this article, we describe explicitly the Plancherel formula of a weighted Bergman space on under the action of by using the Howe dual pair

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Authors and Affiliations

  1. OSU, 401 Mathematics Department, Stillwater, OK 74078 USA (e-mail: ssaid@math.okstate.edu) , , , , , , US

    S. Ben Saïd

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  1. S. Ben Saïd
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Received: 13 November 2000; in final form: 30 January 2002 / Published online: 6 August 2002

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Ben Saïd, S. Connection between the Plancherel formula and the Howe dual pair (). Math. Z. 241, 743–760 (2002). https://doi.org/10.1007/s00209-002-0443-5

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  • DOI: https://doi.org/10.1007/s00209-002-0443-5

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