Eigenfunctions of the Laplace–Beltrami Operator on Harmonic \(NA\) Groups

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• 作者：Ewa Damek ; Pratyoosh Kumar
• 刊名：Journal of Geometric Analysis
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：26
• 期：3
• 页码：1913-1924
• 全文大小：410 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Differential Geometry
  Convex and Discrete Geometry
  Fourier Analysis
  Abstract Harmonic Analysis
  Dynamical Systems and Ergodic Theory
  Global Analysis and Analysis on Manifolds
  
• 出版者：Springer New York
• ISSN：1559-002X
• 卷排序：26

文摘

We characterize some \(L^p\)-type eigenfunctions of the Laplace–Beltrami operator on harmonic \(NA\) groups corresponding to the eigenvalue \((\rho ^2-\beta ^2)\) for all \(\beta >0\).KeywordsEigenfunctionsPoisson transformHarmonic \(NA\) group