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The Schatten–von Neumann class associated with the Gabor–Riemann–Liouville operator

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Abstract

In this paper, we define the localization operator associated with the Riemann–Liouville operator, and show that it is not only bounded, but it is also in the Schatten–von Neumann class. We also give a trace formula when the symbol function is nonnegative.

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  1. SAMM EA 4543, Fédération CNRS FP2M, Université Paris 1 Panthéon-Sorbonne, 2036, Paris, France

    Aymen Hammami

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  1. Aymen Hammami
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Correspondence to Aymen Hammami.

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Hammami, A. The Schatten–von Neumann class associated with the Gabor–Riemann–Liouville operator. Period Math Hung 83, 192–203 (2021). https://doi.org/10.1007/s10998-021-00379-w

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  • DOI: https://doi.org/10.1007/s10998-021-00379-w

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