TY - JOUR
ID - 29394
TI - p-adic Shearlets
JO - Wavelet and Linear Algebra
JA - WALA
LA - en
SN - 2383-1936
AU - Fatemidokht, Mahdieh
AU - Askari Hemmat, Ataollah
AD - Depatrment of pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman
AD - Depatrment of Mathematics Graduate University of Advanced Technology
Y1 - 2018
PY - 2018
VL - 5
IS - 1
SP - 57
EP - 71
KW - Fourier transform
KW - continuous p-adic shearlet transform
KW - p-adic shearlet system
DO - 10.22072/wala.2017.61717.1112
N2 - The field $Q_{p}$ of $p$-adic numbers is defined as the completion of the field of the rational numbers $Q$ with respect to theĀ $p$-adic norm $|.|_{p}$. In this paper, we study the continuous and discrete $p-$adic shearlet systems on $L^{2}(Q_{p}^{2})$. We also suggest discrete $p-$adic shearlet frames. Several examples are provided.
UR - https://wala.vru.ac.ir/article_29394.html
L1 - https://wala.vru.ac.ir/article_29394_53c2ff2b53834194d66fb0fe56531761.pdf
ER -