TY - JOUR
T1 - On Characterization of Nonuniform Tight Wavelet Frames on Local Fields
AU - Owais Ahmad & Neyaz A. Sheikh
JO - Analysis in Theory and Applications
VL - 2
SP - 135
EP - 146
PY - 2018
DA - 2018/07
SN - 34
DO - http://doi.org/10.4208/ata.2018.v34.n2.4
UR - https://global-sci.org/intro/article_detail/ata/12582.html
KW - Nonuniform wavelet frame, tight wavelet frame, Fourier transform, local field.
AB - <p style="text-align: justify;">In this article, we introduce a notion of nonuniform wavelet frames on local
fields of positive characteristic. Furthermore, we gave a complete characterization of
tight nonuniform wavelet frames on local fields of positive characteristic via Fourier
transform. Our results also hold for the Cantor dyadic group and the Vilenkin groups
as they are local fields of positive characteristic.</p>