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Delta function defined for complez values

  1. Apr 16, 2008 #1
    is there a form to define the dirac delta function for complex values ? i mean

    [tex] \delta (x-a-bi) [/tex] or [tex] \delta (-ix) [/tex]

    using 'test functgions' i get that they converge nowhere (always infinite) which makes no sense at all, using scalling properties we could define

    [tex] \delta (ix) = \delta(x) [/tex] since modulus of 'i' is just one but i am not completely sure.
  2. jcsd
  3. Apr 16, 2008 #2


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    Science Advisor

    In using the delta function, the domain is the real line. There is no problem with using it with a complex constant or even multiplying x by i. Just be careful about what problem you are trying to solve. Remeber the delta function makes sense only under integral signs.
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