TY - JOUR
T1 - Q-Binomials and non-continuity of the p-adic fourier transform
AU - Ophir, Amit
AU - De Shalit, Ehud
N1 - Publisher Copyright:
© 2016. Published by Oxford University Press. All rights reserved.
PY - 2016/12/1
Y1 - 2016/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85054052359&partnerID=8YFLogxK
U2 - 10.1093/qmath/haw035
DO - 10.1093/qmath/haw035
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AN - SCOPUS:85054052359
SN - 0033-5606
VL - 67
SP - 653
EP - 668
JO - Quarterly Journal of Mathematics
JF - Quarterly Journal of Mathematics
IS - 4
ER -