Fourier restriction estimates on quantum Euclidean spaces

Fourier restriction estimates on quantum Euclidean spaces

In this paper, we initiate the study of the Fourier restriction phenomena on quantum Euclidean spaces, and establish the analogues of the Tomas-Stein restriction theorem and the two-dimensional full restriction theorem.

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Veröffentlicht in:Advances in mathematics (New York. 1965) 2023-10, Vol.430, p.109232, Article 109232
Hauptverfasser: Hong, Guixiang, Lai, Xudong, Wang, Liang
Format: Artikel
Sprache:eng
Schlagworte:
Fourier restriction estimates
Noncommutative [formula omitted]-spaces
Quantum Euclidean spaces
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Zusammenfassung:In this paper, we initiate the study of the Fourier restriction phenomena on quantum Euclidean spaces, and establish the analogues of the Tomas-Stein restriction theorem and the two-dimensional full restriction theorem.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2023.109232