A variant of the Hankel multiplier

Saifallah Ghobber

doi:10.1215/17358787-2017-0051

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Home > Journals > Banach J. Math. Anal. > Volume 12 > Issue 1 > Article

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

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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