Q-binomials and non-continuity of the p-adic Fourier transform
Number Theory
2016-07-14 v1
Abstract
Let F be a finite extension of Q_p. We show that every Schwartz function on F, with values in an algebraic closure of Q_p, is the uniform limit of a sequence of Schwartz functions, whose Fourier transforms tend uniformly to 0. The proof uses the notion of q-binomial coefficients and some classical identities between them.
Keywords
Cite
@article{arxiv.1607.03670,
title = {Q-binomials and non-continuity of the p-adic Fourier transform},
author = {Amit Ophir and Ehud de Shalit},
journal= {arXiv preprint arXiv:1607.03670},
year = {2016}
}