대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제38권4호
  • /
  • Pages.1063-1074
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  • 2023
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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A VARIANT OF WILSON'S FUNCTIONAL EQUATION ON SEMIGROUPS

  • 투고 : 2022.10.19
  • 심사 : 2023.06.16
  • 발행 : 2023.10.31
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초록

Let S be a semigroup. We determine the complex-valued solutions of the following functional equation f(xy) + 𝜇(y)f(𝜎(y)x) = 2f(x)g(y), x, y ∈ S, where 𝜎 : S → S is an automorphism, and 𝜇 : S → ℂ is a multiplicative function such that 𝜇(x𝜎(x)) = 1 for all x ∈ S.

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참고문헌

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