Vector valued nonuniform multiresolution analysis associated with linear canonical transform
Functional Analysis
2020-11-18 v1
Abstract
A multiresolution analysis associated with linear canonical transform was defined by Shah and Waseem for which the translation set is a discrete set which is not a group. In this paper, we continue the study based on this nonstandard setting and introduce vector-valued nonuniform multiresolution analysis associated with linear canonical transform (LCT-VNUMRA). We establish a necessary and sufficient condition for the existence of associated wavelets and derive an algorithm for the construction of vector-valued nonuniform multiresolution analysis on local fields starting from a vector refinement mask with appropriate conditions.
Cite
@article{arxiv.2011.08339,
title = {Vector valued nonuniform multiresolution analysis associated with linear canonical transform},
author = {Mohd Younus Bhat and Aamir Hamid Dar},
journal= {arXiv preprint arXiv:2011.08339},
year = {2020}
}
Comments
This work is supported by UGC grant