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Harmonic Analysis on Quantum Tori

Communications in Mathematical Physics, no. 3 (2013): 755-805

Cited by: 7|Views2
WOS SCOPUS

Abstract

This paper is devoted to the study of harmonic analysis on quantum tori. We consider several summation methods on these tori, including the square Fejér means, square and circular Poisson means, and Bochner-Riesz means. We first establish the maximal inequalities for these means, then obtain the corresponding pointwise convergence theorem...More

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