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Convolution Identity

  1. Sep 21, 2012 #1
    Hi there,
    working on a physical problem I found two functions that should be equivalent, and indeed they seem to be after a numerical check.

    The functions are shown in the attached PDF. I can not figure a way to prove their equivalence analytically (the double integral especially gives me grief when trying to "unravel" it, to get to a single integral expression)
    Any help would be so appreciated, thank you very much
     

    Attached Files:

  2. jcsd
  3. Sep 21, 2012 #2

    haruspex

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    G(2t-τ12) = G(t-τ1) G(t-τ2)/c
    The double integral then factors into two separate integrals which are identical in effect.
     
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