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文章基本信息

  • 标题:Oscillatory singular integrals and harmonic analysis on nilpotent groups
  • 本地全文:下载
  • 作者:F. Ricci ; E. M. Stein
  • 期刊名称:Proceedings of the National Academy of Sciences
  • 印刷版ISSN:0027-8424
  • 电子版ISSN:1091-6490
  • 出版年度:1986
  • 卷号:83
  • 期号:1
  • 页码:1-3
  • DOI:10.1073/pnas.83.1.1
  • 语种:English
  • 出版社:The National Academy of Sciences of the United States of America
  • 摘要:Several related classes of operators on nilpotent Lie groups are considered. These operators involve the following features: (i) oscillatory factors that are exponentials of imaginary polynomials, (ii) convolutions with singular kernels supported on lower-dimensional submanifolds, (iii) validity in the general context not requiring the existence of dilations that are automorphisms.
  • 关键词:Calderón-Zygmund kernels ; nonautomorphic dilations
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