Linear canonical wavelet transform and the associated uncertainty principles
Functional Analysis
2022-02-25 v1
Abstract
We define a novel time-frequency analyzing tool, namely linear canonical wavelet transform (LCWT) and study some of its important properties like inner product relation, reconstruction formula and also characterize its range. We obtain Donoho-Stark's and Lieb's uncertainty principle for the LCWT and give a lower bound for the measure of its essential support. We also give Shapiro's mean dispersion theorem for the proposed LCWT.
Cite
@article{arxiv.2202.12244,
title = {Linear canonical wavelet transform and the associated uncertainty principles},
author = {Bivek Gupta and Amit K. Verma and Carlo Cattani},
journal= {arXiv preprint arXiv:2202.12244},
year = {2022}
}