Heisenberg type uncertainty principle for the Gabor spherical mean transform

Abstract

We prove a Heisenberg type uncertainty principle for the Gabor spherical mean transform, and we study its generalization. Next, we extend local uncertainty principle for sets of finite measure to the latter transform.

Keywords:

• Fourier transform
• Gabor transform
• local uncertainty principle
• time–frequency analysis
• uncertainty principle

2010 Mathematics Subject Classification:

• 42B10

Disclosure statement

No potential conflict of interest was reported by the author(s).