Hypoelliptic Jacobi Convolution Operators on Schwartz Distributions

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• 作者：J. J. Betancor ; J. D. Betancor and J. M. R. Méndez
• 关键词：Jacobi convolution equations ; hypoelliptic ; Schwartz distributions ; Ch&eacute ; bli ; Trim&eacute ; che hypergroups
• 刊名：Positivity
• 出版年：2004
• 出版时间：December 2004
• 年：2004
• 卷：8
• 期：4
• 页码：407-422
• 全文大小：155 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Fourier Analysis
  Operator Theory
  Potential Theory
  Calculus of Variations and Optimal Control
  Econometrics
  
• 出版者：Birkh盲user Basel
• ISSN：1572-9281

文摘

In this paper we characterize the hypoellipticity of Jacobi convolution operators on Schwartz distributions. In the proof of the main result of this paper the positivity ofthe convolution structure for the inverse of the Jacobi transform plays an essential role. We also study hypoelliptic convolution equations on Chébli-Triméche hypergroups.