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arXiv · 1710.00360

On the size of p-adic Whittaker functions

Edgar Assing
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Abstract

In this paper we tackle a question raised by N. Templier and A. Saha concerning the size of Whittaker new vectors appearing in infinite dimensional representations of GL(2) over non-archimedean fields. We derive precise bounds for such functions in all possible situations. Our main tool is the p-adic method of stationary phase.

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Edgar Assing. 2017-10-01. On the size of p-adic Whittaker functions. https://doi.org/10.1090/tran/7685

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