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Math Help - Gaussian integral as an average

  1. #1
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    Gaussian integral as an average

    OK so we have:
    \int f(z) e^{a g(z)} dz^3
    integerated over all space.
    Now there is a identity for this integral as an average, or something like that, right? What is it? Or perhaps you have suggestions where I could read up on that kind of thing?
    (I'm not looking for the integral in terms of a determinant by the way, or am I? :/ ).
    Any help would be much appreciated. Thanks.
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  2. #2
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    Maybe if I say expectation value rather than average?
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