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Transactions of the American Mathematical Society

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


Author: Jason Levy
Journal: Trans. Amer. Math. Soc. 354 (2002), 2521-2539
MSC (2000): Primary 22E30, 22E35
DOI: https://doi.org/10.1090/S0002-9947-02-02967-7
Published electronically: February 1, 2002
MathSciNet review: 1885662
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Abstract | References | Similar Articles | Additional Information

Abstract: Given a finite-dimensional representation of ${\mathbf{S} \mathbf{L}}(2,F)$, on a vector space $V$ defined over a local field $F$ of characteristic zero, we produce a regularization of orbital integrals and determine when the resulting distribution is non-trivial.


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Additional Information

Jason Levy
Affiliation: Department of Mathematics, University of Ottawa, 585 King Edward, Ottawa, ON K1N 6N5, Canada
Email: jlevy@science.uottawa.ca

DOI: https://doi.org/10.1090/S0002-9947-02-02967-7
Received by editor(s): August 7, 2000
Received by editor(s) in revised form: September 11, 2001
Published electronically: February 1, 2002
Additional Notes: Partially supported by an NSERC grant.
Article copyright: © Copyright 2002 American Mathematical Society

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