Uncertainty principles for the continuous wavelet transform in the Hankel setting

Abstract

Shapiro’s dispersion and Umbrella theorems are proved for the continuous Hankel wavelet transform. As a side results, we extend local uncertainty principles for set of finite measure to the latter transform.

Keywords:

• Hankel transform
• uncertainty principles
• Hankel wavelet transform
• Shapiro’s theorem
• umbrella theorem

AMS Subject Classifications:

• 42B10
• 42C40
• 43A32

Notes

No potential conflict of interest was reported by the authors.