Characterization of wavelets and MRA wavelets on local fields of positive characteristic
Functional Analysis
2013-12-03 v1
Abstract
We provide a characterization of wavelets on local fields of positive characteristic based on results on affine and quasi affine frames. This result generalizes the characterization of wavelets on Euclidean spaces by means of two basic equations. We also give another characterization of wavelets. Further, all wavelets which are associated with a multiresolution analysis on a such a local field are also characterized.
Keywords
Cite
@article{arxiv.1312.0443,
title = {Characterization of wavelets and MRA wavelets on local fields of positive characteristic},
author = {Biswaranjan Behera and Qaiser Jahan},
journal= {arXiv preprint arXiv:1312.0443},
year = {2013}
}
Comments
arXiv admin note: text overlap with arXiv:1103.0090