Fourier restriction estimates on quantum Euclidean spaces

2022/09/04 by Guixiang Hong, Hong, Guixiang, Xudong Lai +3
Mathematics · #42B20 #46L51 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2209.01570

openalex publication_date 2022/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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