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Math Help - convolution of exp(-a*norm(x)^2) and exp(-b*norm(x)^2) ?

  1. #1
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    convolution of exp(-a*norm(x)^2) and exp(-b*norm(x)^2) ?

    How do I compute convolution of exp(-a*norm(x)^2) and exp(-b*norm(x)^2) where a,b > 0 and x belongs to Rn?

    I wonder if there is an easy way to compute this convolution using fourier transform.
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  2. #2
    Senior Member yeKciM's Avatar
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    Quote Originally Posted by jefferson_lc View Post
    How do I compute convolution of exp(-a*norm(x)^2) and exp(-b*norm(x)^2) where a,b > 0 and x belongs to Rn?

    I wonder if there is an easy way to compute this convolution using fourier transform.
    hm.. okay do u know how to do convolution using convolution integral (graphic or analytical) easiest way (if u know how do the functions look like) is convolution integral, but with graphic (if you draw it it's less work) if you don't know how do you do that (any of these two) you can use Fourier transformation (when your functions from time goes to frequency region) and do convolution there and than use inverse Fourier to get back in time region... there convolution is nothing more than multiplying these two functions because convolution in time region is multiplication in frequency region and multiplication in time region is convolution in frequency region

    but that is much work (to use Fourier T ) for some functions it's up to you, how do you are resourceful in which of these solutions
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