A weak kernel formula for Bessel functions
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- by Jingsong Chai PDF
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Abstract:
In this paper, we prove a weak kernel formula of Bessel functions attached to irreducible generic representations of $p$-adic $GL(n)$. As an application, we show that the Bessel function defined by Bessel distribution coincides with the Bessel function defined via uniqueness of Whittaker models on the open Bruhat cell.References
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Additional Information
- Jingsong Chai
- Affiliation: College of Mathematics and Econometrics, Hunan University, Changsha, 410082, Peopleโs Republic of China
- MR Author ID: 1098463
- Email: jingsongchai@hotmail.com
- Received by editor(s): August 3, 2015
- Received by editor(s) in revised form: November 16, 2015, and December 3, 2015
- Published electronically: April 24, 2017
- © Copyright 2017 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 369 (2017), 7139-7167
- MSC (2010): Primary 22E50; Secondary 11F70
- DOI: https://doi.org/10.1090/tran/6884
- MathSciNet review: 3683106