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The functional equation $ f(xy)+f(xy\sp{-1})=2f(x)f(y)$ for groups


Author: Pl. Kannappan
Journal: Proc. Amer. Math. Soc. 19 (1968), 69-74
MSC: Primary 39.38
DOI: https://doi.org/10.1090/S0002-9939-1968-0219936-1
MathSciNet review: 0219936
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  • [1] T. M. Flett, Continuous solutions of the functional equation $ f(x + y) + f(x - y) = 2f(x)f(y)$, Amer. Math. Monthly 70 (1963), 392-397. MR 0149141 (26:6635)
  • [2] Edwin Hewitt and K. A. Ross, Abstract harmonic analysis, Springer-Verlag, Berlin, 1963.
  • [3] P. Kannappan, On the functional equation $ f(x + y) + f(x - y) = 2f(x)f(y)$ Amer. Math. Monthly 72 (1965), 374-377. MR 0180774 (31:5004)

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DOI: https://doi.org/10.1090/S0002-9939-1968-0219936-1
Article copyright: © Copyright 1968 American Mathematical Society

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