Dual Blobs and Plancherel Formulas
نویسندگان
چکیده
منابع مشابه
PLANCHEREL MEASURE FOR GL(n): EXPLICIT FORMULAS AND BERNSTEIN DECOMPOSITION
Let F be a nonarchimedean local field, let GL(n) = GL(n, F ) and let ν denote Plancherel measure for GL(n). Let Ω be a component in the Bernstein variety Ω(GL(n)). Then Ω yields its fundamental invariants: the cardinality q of the residue field of F , the sizes m1, . . . ,mt, exponents e1, . . . , et, torsion numbers r1, . . . , rt, formal degrees d1, . . . , dt and the Artin conductors f11, . ...
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The problem of finding the explicit Plancherel formulas for semisimple Lie groups has been solved completely in the case of complex semisimple Lie groups (see [3 (b)]). Moreover Harish-Chandra showed [3(f)] that the problem is solved also for a real semisimple Lie group having only one conjugate class of Cartan subgroups. In the case of real semisimple Lie groups with several conjugate classes ...
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ژورنال
عنوان ژورنال: Bulletin de la Société mathématique de France
سال: 2004
ISSN: 0037-9484,2102-622X
DOI: 10.24033/bsmf.2459