The Local Character Expansion near a Tame, Semisimple Element

Consider the character of an irreducible admissible representation of a p-adic reductive group. The Harish-Chandra-Howe local expansion expresses this character near a semisimple element as a linear combination of Fourier transforms of nilpotent orbital integrals. Under mild hypotheses, we describe...

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Veröffentlicht in:	American journal of mathematics 2007-04, Vol.129 (2), p.381-403
Hauptverfasser:	Adler, Jeffrey D., Korman, Jonathan
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Eigenvalues Exact sciences and technology Fourier transformations Fourier transforms Group theory Group theory and generalizations Haar measures Harmonic analysis Mathematical analysis Mathematical functions Mathematical sets Mathematical theorems Mathematics Moral character Sciences and techniques of general use Topological groups, lie groups
Online-Zugang:	Volltext
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