Work

Linear canonical wavelet transform and the associated uncertainty principles

Year: 2022

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2202.12244

Authors: Gupta, Bivek, Verma, Amit K., Cattani, Carlo

Institutions: Indian Institute of Technology Patna, Università degli Studi della Tuscia

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4225655136

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