Reformulation of some functional equations in the space of Gevrey distributions and regularity of solutions

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• 作者：S.-Y. Chung
• 刊名：Aequationes Mathematicae
• 出版年：2000
• 出版时间：February 2000
• 年：2000
• 卷：59
• 期：1-2
• 页码：108-123
• 全文大小：335 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  Combinatorics
  
• 出版者：Birkh盲user Basel
• ISSN：1420-8903

文摘

Summary. We reformulate several well-known functional equations including Cauchy equation, Pexider equation, Jensen equation, Pompeiu equation and their generalized forms as equations for Gevrey distributions and show that every solution of each functional equation in the space of Gevrey distributions is Gevrey differentiable.