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arXiv · 1512.01142

$L_p$-Multipliers on Quantum Tori

Éric Ricard
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Abstract

It was shown by Chen, Xu and Yin that completely bounded Fourier multipliers on noncommutative $L_p$-spaces of quantum tori $\mathbb T^d_\theta$ do not depend on the parameter $\theta$. We establish that the situation is somehow different for bounded multipliers. The arguments are based on transference from the commutative torus.

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Éric Ricard. 2015-12-02. $L_p$-Multipliers on Quantum Tori. https://arxiv.org/abs/1512.01142

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