English

Wavelet sets on Cantor Dyadic Group

Functional Analysis 2021-01-08 v2

Abstract

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 providing another method for the construction of wavelets. All the wavelets originating from wavelet sets are not necessarily associated with a multiresolution analysis. Relation between multiresolution analysis and, wavelets determined from wavelet sets is established along with relevant examples.

Cite

@article{arxiv.1906.07700,
  title  = {Wavelet sets on Cantor Dyadic Group},
  author = {Prasadini Mahapatra and Divya Singh},
  journal= {arXiv preprint arXiv:1906.07700},
  year   = {2021}
}

Comments

To modify these results in a generalization field

R2 v1 2026-06-23T09:57:10.517Z