4 papers
Properties of translates of frames on Vilenkin group
Prasadini Mahapatra, Divya Singh
We study the properties based on the space generated by the translates of square integrable function using C-bracket on Vilenkin group. We give the necessary and sufficient conditi…
Characterization of the pseudo-scaling functions on Vilenkin group
Prasadini Mahapatra
Vilenkin groups, introduced by F. Ya Vilenkin, form a class of locally compact abelian groups. The present paper consists of the characterization of Parseval frame multiwavelets as…
Wavelet Sets and Generalized Scaling Sets on Vilenkin Group
Prasadini Mahapatra, Arpit Chandan Swain, Divya Singh
For Vilenkin group only the existence of multiwavelets associated with multiresolution analysis (MRA) is known. In this paper, we have shown that by using wavelet sets we can also…
Wavelet sets on Cantor Dyadic Group
Prasadini Mahapatra, Divya Singh
W. C. Lang determined wavelets on Cantor dyadic group by using Multiresolution analysis method. In this paper we have given characterization of wavelet sets on Cantor dyadic group…