Q-Binomials and non-continuity of the p-adic fourier transform

Amit Ophir, Ehud De Shalit*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Let F be a finite extension of Qp. We show that every Schwartz function on F, with values in Qp, is the p-adic 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 these polynomials.

Original languageAmerican English
Pages (from-to)653-668
Number of pages16
JournalQuarterly Journal of Mathematics
Volume67
Issue number4
DOIs
StatePublished - 1 Dec 2016

Bibliographical note

Publisher Copyright:
© 2016. Published by Oxford University Press. All rights reserved.

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