Logarithmic uncertainty principles for the Hankel wavelet transform

TL;DR

This paper establishes new uncertainty principles, including logarithmic and entropic forms, for the Hankel wavelet transform, and derives a generalized Heisenberg-type inequality for it.

Contribution

It introduces novel uncertainty principles specific to the Hankel wavelet transform, expanding the theoretical understanding of its limitations and properties.

Findings

Proved logarithmic and entropic uncertainty principles for the Hankel wavelet transform.

Derived a general Heisenberg-type uncertainty inequality for this transform.

Enhanced the theoretical framework of wavelet analysis with new uncertainty bounds.

Abstract

The aim of this paper is to prove a logarithmic and a Hirschman-Beckner entropic uncertainty principles for the Hankel wavelet transform. Then we derive a general form of Heisenberg-type uncertainty inequality for this transformation.