Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 12, Number 1 (2018), 144-166.
A variant of the Hankel multiplier
The first aim of this article is to survey and revisit some uncertainty principles for the Hankel transform by means of the Hankel multiplier. Then we define the wavelet Hankel multiplier and study its boundedness and Schatten-class properties. Finally, we prove that the wavelet Hankel multiplier is unitary equivalent to a scalar multiple of the phase space restriction operator, for which we deduce a trace formula.
Banach J. Math. Anal., Volume 12, Number 1 (2018), 144-166.
Received: 24 November 2016
Accepted: 12 March 2017
First available in Project Euclid: 8 November 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 81S30: Phase-space methods including Wigner distributions, etc.
Secondary: 94A12: Signal theory (characterization, reconstruction, filtering, etc.) 45P05: Integral operators [See also 47B38, 47G10] 42C25: Uniqueness and localization for orthogonal series 42C40: Wavelets and other special systems
Ghobber, Saifallah. A variant of the Hankel multiplier. Banach J. Math. Anal. 12 (2018), no. 1, 144--166. doi:10.1215/17358787-2017-0051. https://projecteuclid.org/euclid.bjma/1510110961