
本文主要研究内容
作者(2019)在《Subsets of Euclidean Space with Nearly Maximal Gowers Norms》一文中研究指出:A set E ? R~d whose indicator function 1_E has maximal Gowers norm, among all sets of equal measure, is an ellipsoid up to Lebesgue null sets. If 1_E has nearly maximal Gowers norm then E nearly coincides with some ellipsoid, in the sense that their symmetric difference has small Lebesgue measure.
Abstract
A set E ? R~d whose indicator function 1_E has maximal Gowers norm, among all sets of equal measure, is an ellipsoid up to Lebesgue null sets. If 1_E has nearly maximal Gowers norm then E nearly coincides with some ellipsoid, in the sense that their symmetric difference has small Lebesgue measure.
论文参考文献
[1].On the Parallel and Totally Umbilical Hypersurfaces of the Euclidean Ellipsoid[J]. Yinshan ZHANG. Journal of Mathematical Research with Applications.2016(05)[2].On Embeddings of Tori in Euclidean Spaces[J]. Matija CENCELJ Duan REPOVS Institute of Mathematics,Physics and Mechanics,University of Ljubljana,P.O.Box 2964,Ljubljana 1001,Slovenia E-mail:matija.cencelj@guest.arnes.si dusan.repovs@fmf.uni-lj.si. Acta Mathematica Sinica(English Series).2005(02)[3].Translation Surfaces with Zero Mean Curvature in (2+p)-Dimensional Pseudo-Euclidean Space E22+p or Ep2+p[J]. 孙华飞,王肖华,汤莉. Journal of Beijing Institute of Technology(English Edition).2005(03)[4].On the Isometric Minimal Immersion into a Euclidean Space[J]. Qing Chen Department of Mathematics,The University of Science and Technology of China,Hefei 230026,P.R.China E-mail:qchen@ustc.edu.cn. Acta Mathematica Sinica(English Series).1999(04)[5].Some Optimality Conditions for The C_Μ-embedded Problem with the Euclidean Norm[J]. Z.Q.XiaJ.J.Strodiot,V.H.Nguven. 数学研究与评论.1988(04)[6].Horizontal Isometric Maps and Gauss Maps[J]. 宋士云. 数学进展.1988(02)[7].PICTURE GEOMETRICAL PARAMETER MEASUREMENT WITH COMPUTER[J]. 宋述武,覃家美,甘丹琳,廖孟扬. Science Bulletin.1988(02)[8].UNIQUENESS OF MULTIPLE TRIGONOMETRIC INTEGRALS[J]. Chen Tzi-chi (Department of Mathematics and Mechanics). 北京大学学报(自然科学).1959(01)[9].On the Immersion of C~∞-3-Manifolds in a Euclidean Space[J]. 吴文俊. Science in China,Ser.A.1964(02)[10].Integral Formulas for Submanifolds in Euclidean Space and Their Applications to Uniqueness Theorem[J]. 李安民. 数学研究与评论.1984(03)
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:Subsets of Euclidean Space with Nearly Maximal Gowers Norms论文
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