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What is the product of two Dirac delta functions

  1. Jun 5, 2016 #1
    1. The problem statement, all variables and given/known data
    What is the product of two Dirac delta functions

    δ(Real(z-c))δ(Img(z-c))=?
    'z' and 'c' are complex numbers.

    This is not a problem, But I just need to use this formula in a derivation that I am currently doing. I just want the product of these two Dirac delta functions as a single/double Dirac delta function. I don't need the derivation, just the formula is enough.
     
    Last edited: Jun 5, 2016
  2. jcsd
  3. Jun 5, 2016 #2

    mfb

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    2016 Award

    Staff: Mentor

    If your δ are real-valued delta distributions, that product is simply the complex-valued delta distribution, δ(z-c). You can verify this by integrating over the complex plane.
     
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