호남수학학술지 (Honam Mathematical Journal)

  • 제30권1호
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  • Pages.185-195
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  • 2008
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
권호 표지
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TRIGONOMETRIC FUNCTIONAL EQUATIONS IN GEVERY DISTRIBUTIONS

  • 투고 : 2007.11.22
  • 심사 : 2008.03.03
  • 발행 : 2008.03.25
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초록

We consider a system of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions and Gelfand generalized functions. As a consequence we find locally integrable solutions of the n-dimensional trigonometric functional equation.

키워드

참고문헌

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  8. J. Chung, Generalized Pompeiu equations in distributions, Applied Mathematics Letters, in press
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  10. J. Chung, S. Y. Lee, Some functional equations in the spaces of generalized functions, Aequationes Math. 65(2003) 267-279 https://doi.org/10.1007/s00010-003-2657-y
  11. I. M. Gelfand and G. E. Shilov, Generalized functions II, Academic Press, New York, 1968.
  12. L. Hormander, The analysis of linear partial differential operators I,Springer-Verlag, Berlin-New York, 1983.
  13. L. Schwartz, Theorie des distributions, Hermann, Paris, 1966.

피인용 문헌

  1. Trigonometric identities in *-algebras vol.25, pp.1, 2014, https://doi.org/10.1016/j.indag.2013.08.007