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Dirac delta function with contineous set of zeros

  1. May 20, 2012 #1
    hi!

    i have a question regarding the delta function. if i have a delta distribution with an argument that is a function of multiple arguments, somthimg like:

    ∫δ(E-[itex]p^{2}_{i}[/itex]/2m)[itex]dp^{N}[/itex], ranging over +-∞

    now, the argument of the delta function vanishes on a sphere. i can evaluate the integral by changing to spherical coordinates, but in general is there a similar method to evaluate something like this as in the case of discrete zeros? my question is in the context of statistical mechanics.

    thanks!
     
  2. jcsd
  3. May 21, 2012 #2

    Rap

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    Check out http://en.wikipedia.org/wiki/Dirac_delta_function#Composition_with_a_function
     
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