• 主题
高级搜索  >
历史搜索 清空历史
首页> 美国政府科技报告 >Fatou Theorem for Eigenfunctions of the Laplace-Beltrami Operator in a Symmetric Space
【24h】

Fatou Theorem for Eigenfunctions of the Laplace-Beltrami Operator in a Symmetric Space

机译：对称空间中Laplace-Beltrami算子特征函数的Fatou定理

获取原文
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

For X a Riemannian symmetric space, a representation for all positive eigenfunctions of the Laplace-Beltrami operator delta in X was found. The Martin boundary obtained is the product of the Furstenberg boundary of X and a subset of a sphere. Given an integrable function f on this Martin boundary, there is an associated eigenfunction u of delta. The problem of recovering f as a pointwise limit of u, or rather u divided by a normalizing function is posed. The limit should then be taken along geodesic curves corresponding to boundary points. It is proved that almost all values of any integrable f are limits in this way. The proof goes via the corresponding maximal function.

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号