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 GL2 over nonarchimedean fields. We derive precise bounds for such functions in all possible situations. Our main tool is the p-adic method of stationary phase.
|Number of pages||54|
|Journal||Transactions of the American Mathematical Society|
|Publication status||Published - 15 Oct 2019|
- Automorphic representations
- P-adic special functions
- P-adic stationary phase
- Whittaker new vectors