摘要
This paper is devoted to the study of the restriction problem in harmonic analysis. Based on the spherical harmonics expansion and analyzing the asymptotic behavior of the Bessel function, we show that a modified linear adjoint restriction estimate holds for all Schwartz functions compactly supported on the cone, which generalizes Shao's result.
源语言 | 英语 |
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页(从-至) | 2091-2102 |
页数 | 12 |
期刊 | Proceedings of the American Mathematical Society |
卷 | 140 |
期 | 6 |
DOI | |
出版状态 | 已出版 - 2012 |
指纹
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Miao, C., Zhang, J., & Zheng, J. (2012). A note on the cone restriction conjecture. Proceedings of the American Mathematical Society, 140(6), 2091-2102. https://doi.org/10.1090/S0002-9939-2011-11076-1