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Periodic functions in dilations

  1. Aug 31, 2011 #1
    is it possible to find a function f different from [tex] f(x)=constant [/tex]

    with the property [tex] f(kx)=f(x) [/tex] for some real and positive 'k' ???

    this is somehow 'dilation periodicity' is the equivalent to the periodic funciton [tex] f(x+k)=f(x) [/tex] for some positive 'k' for the traslation group
     
  2. jcsd
  3. Aug 31, 2011 #2

    tiny-tim

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    yes

    try a substitution :wink:
     
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