9-15 solution of functional equation on compact groups using fourier analysis

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  • who: ANNALES et al. from the (UNIVERSITY) have published the Article: 9-15 Solution of functional equation on compact groups using Fourier analysis, in the Journal: (JOURNAL)
  • what: Let G be compact group let n ∈ N {0 1} be fixed element and let σ be continuous automorphism on G such that σ n = I. Using the non-abelian Fourier transform the authors determine the non-zero continuous solutions f: G → C of the functional equation f (xy) + n-1 f (σ k (y)x) = nf (x)f (y) x y ∈ G k=1 in terms of unitary characters . . .

     

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