Uncertainty principles for the windowed Hankel transform

TL;DR

This paper establishes new uncertainty principles for the windowed Hankel transform, including orthonormal sequence, local, logarithmic, and Heisenberg-type principles, along with a dispersion theorem.

Contribution

It introduces several novel uncertainty principles specific to the windowed Hankel transform, expanding the theoretical understanding of its properties.

Findings

Proved uncertainty principle for orthonormal sequences

Established local and logarithmic uncertainty principles

Derived Shapiro's dispersion theorem for the transform

Abstract

The aim of this paper is to prove some new uncertainty principles for the windowed Hankel transform. They include uncertainty principle for orthonormal sequence, local uncertainty principle, logarithmic uncertainty principle and Heisenberg-type uncertainty principle. As a side result, we obtain the Shapiro's dispersion theorem for the windowed Hankel transform.