The Oscillator Character Formula,for isometry groups of split forms in deep stable range |
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| Authors: | Andrzej Daszkiewicz Tomasz Przebinda |
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| Institution: | (1) Department of Mathematics, N. Copernicus University, 87-100 Toru , Poland;(2) Department of Mathematics, University of Oklahoma, 73019 Norman, OK, USA |
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| Abstract: | Let
and
be a reductive dual pair of the type mentioned in the title, with
the smaller member. Let  and  be unitary representations of
,
which occur in Howe's correspondence. We express the distribution character of in terms of the character of via an explicit integral kernel operator.Oblatum 4-I-1995Research partially supported by the1UMK Grant 514-M, and the2NSF Grant DMS 9204488. |
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| Keywords: | |
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