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January 2018 A variant of the Hankel multiplier
Saifallah Ghobber
Banach J. Math. Anal. 12(1): 144-166 (January 2018). DOI: 10.1215/17358787-2017-0051

Abstract

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.

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Saifallah Ghobber. "A variant of the Hankel multiplier." Banach J. Math. Anal. 12 (1) 144 - 166, January 2018. https://doi.org/10.1215/17358787-2017-0051

Information

Received: 24 November 2016; Accepted: 12 March 2017; Published: January 2018
First available in Project Euclid: 8 November 2017

zbMATH: 1383.81120
MathSciNet: MR3745578
Digital Object Identifier: 10.1215/17358787-2017-0051

Subjects:
Primary: 81S30

Rights: Copyright © 2018 Tusi Mathematical Research Group

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Vol.12 • No. 1 • January 2018
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