On Inversion of the Bessel and Gelfand Transforms

نویسندگان

  • MASAAKI FURUSAWA
  • JOSEPH A. SHALIKA
چکیده

We construct the Plancherel measure corresponding to the Bessel model on the split special orthogonal group of odd degree ≥ 5 and the Whittaker model on a connected split reductive group in general. As an application we prove the inversion formula which expresses the related integral transform in terms of the Satake transform.

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تاریخ انتشار 2001