Transactions of the American Mathematical Society

Regularized orbital integrals for representations of ${\mathbf{S} \mathbf{L}}(2)$

Author(s): Jason Levy
Journal: Trans. Amer. Math. Soc. 354 (2002), 2521-2539.
MSC (2000): Primary 22E30, 22E35
Posted: February 1, 2002
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Abstract: Given a finite-dimensional representation of ${\mathbf{S} \mathbf{L}}(2,F)$ , on a vector space

defined over a local field

of characteristic zero, we produce a regularization of orbital integrals and determine when the resulting distribution is non-trivial.

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