Quantitative uncertainty principles for the Gabor spherical mean transform

Abstract

In this paper, we present the basic Gabor spherical mean theory. Next, we prove several uncertainty principles for this transform such as Heisenberg type inequalities, Donoho-Stark's uncertaintly principle, Shannon's uncertainty principle, $L^p$-Heisenberg uncertainty principle and $L^p$-local uncertainty principles.

Keywords:

• Spherical mean operator
• Gabor spherical mean transform
• quantitative uncertainty principles

2020 Mathematics Subject Classifications:

• 43A32
• 42B25
• 42C40
• 94A12

Disclosure statement

The authors declare that they have no conflicts of interest.

Data availability statement

Data sharing not applicable to this article as no data sets were generated or analysed during the current study.