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      Duistermaat-Heckman measures in a non-compact setting

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          Abstract

          We prove a \dh type formula in a suitable non-compact setting. We use this formula to evaluate explicitly the pushforward of the Liouville measure via the moment map of both an abelian and a non-abelian group action. As an application we obtain the classical analogues of well-known multiplicity formulas for the holomorphic discrete series representations.

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          Author and article information

          Journal
          20 July 1993
          Article
          alg-geom/9307005
          addee1b8-9145-4cc7-8359-da01fe5e464c
          History
          Custom metadata
          LaTeX file, 14 pages
          alg-geom hep-th math.AG

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