Abstract
The k-Hankel wavelet transform is a novel addition to the class of wavelet transforms which relies on a pair of generalized translation and dilation operators governed by the well-known k-Hankel transform. The aim of this paper is to explore a class of new uncertainty principles associated with the k-Hankel wavelet transform, including the Benedick–Amrein–Berthier and Shapiro’s uncertainty inequalities. Nevertheless, we shall also establish certain local-type uncertainty principles abreast of the mean dispersion theorems for the k-Hankel wavelet transform.
Acknowledgements
The authors are deeply indebted to the referees for constructive comments and help in improving the content of this article. The first author dedicates this paper to Professor Khalifa Trimèche and thanks Professor Man Wah Wong for his help.
References
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Articles in the same Issue
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- The theta cycles for modular forms modulo prime powers
- Relations among Ramanujan-type congruences II: Ramanujan-type congruences in half-integral weights
- A unified approach to Gelfand and de Vries dualities
- The cardinality of orthogonal exponentials of planar self-affine measures with two-element digit set
- Categorically closed countable semigroups
- Symmetric skew braces and brace systems
- A new class of uncertainty principles for the k-Hankel wavelet transform
- Homogeneous ACM bundles on isotropic Grassmannians
- On the global L 2-boundedness of Fourier integral operators with rough amplitude and phase functions
- A local converse theorem for Archimedean GL(n)
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Articles in the same Issue
- Frontmatter
- The theta cycles for modular forms modulo prime powers
- Relations among Ramanujan-type congruences II: Ramanujan-type congruences in half-integral weights
- A unified approach to Gelfand and de Vries dualities
- The cardinality of orthogonal exponentials of planar self-affine measures with two-element digit set
- Categorically closed countable semigroups
- Symmetric skew braces and brace systems
- A new class of uncertainty principles for the k-Hankel wavelet transform
- Homogeneous ACM bundles on isotropic Grassmannians
- On the global L 2-boundedness of Fourier integral operators with rough amplitude and phase functions
- A local converse theorem for Archimedean GL(n)
- Fractional Bloom boundedness and compactness of commutators
- A Mikhlin-type multiplier theorem for the partial harmonic oscillator
- Rational pullbacks of toric foliations
- On fractional integrals generated by Radon transforms over paraboloids