J4 ›› 2012, Vol. 50 ›› Issue (03): 425-.

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Stability of Wilson Functional Equation inthe Spaces of Generalized Functions

LI Linsong, CUI Liying   

  1. Department of Mathematics, College of Science, Yanbian University, Yanji 133002, Jilin Province, China
  • Received:2011-07-28 Online:2012-05-26 Published:2012-05-28
  • Contact: LI Linsong E-mail:lils@ybu.edu.cn

Abstract:

By means of heat kernel and the approach of regularizing generalized functions, HyersUlam stability of Wilson functional equation was
 mainly studied in the spaces of generalized functions such as the Schwartz tempered distributions, Fourier hyperfunctions and Gelfandshilov generalized functions, showing that the result of the stability of Wilson functional equation in generalized functions is similar to that in the usual functional spaces.

Key words: Wilson functional equation; generalized functions; heat kernel; HyersUlam stability

CLC Number: 

  • O178