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Hörmander type Fourier multiplier theorem and Nikolskii inequality on quantum tori, and applications
Michael Ruzhansky, Serikbol Shaimardan, Kanat Tulenov
In this paper, we study Hörmander type Fourier multiplier theorem and the Nikolskii inequality on quantum tori. On the way to obtain these results, we also prove some classical in…
math.FA2025
boundedness of Fourier multipliers on quantum Euclidean spaces
M. Ruzhansky, S. Shaimardan, K. Tulenov
In this paper, we study Fourier multipliers on quantum Euclidean spaces and obtain results on their boundedness. On the way to get these results, we prove Paley, Hausdor…