University of Birmingham Some recent progress on sharp Fourier restriction theory

University of Birmingham Some recent progress on sharp Fourier restriction theory
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伯明翰大学锐傅里叶限制理论的最新进展

DOI:
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发表时间:
2017
期刊:
影响因子:
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通讯作者:
Silva
Silva
中科院分区:
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文献类型:
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作者:
Damiano Foschi;D. Silva;Oliveira;Diogo Oliveira;E. Silva;Silva

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. 本笔记的目的是讨论近十年来在尖锐伴随傅里叶限制/Strichartz不等式的背景下得到的几个结果。我们的目标不是完全的一般性,而是集中在几个具有大群对称性的底层流形的具体例子上,这些例子有时允许简单的几何证明。我们一路上提到了几个开放的问题,并包含了一个关于用微积分在流形上积分的附录。
. The purpose of this note is to discuss several results that have been obtained in the last decade in the context of sharp adjoint Fourier restriction/Strichartz inequalities. Rather than aiming at full generality, we focus on several concrete examples of underlying manifolds with large groups of symmetries, which sometimes allows for simple geometric proofs. We mention several open problems along the way, and include an appendix on integration on manifolds using delta calculus.
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