I am quite new here, and was wondering if anybody knows how this 2D integral is evaluated.
$ \int_{-\infty}^\infty \int_{-\infty}^\infty \delta(k_1 x-k_2y)\,dx\,dy$
Any help is greatly appreciated! Thanks!!!
integration in 2D over delta function with 2 variables
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0HINT: just apply a different set of coordinates: $u=k_1x-k_2y$ and $v=k_1x+k_2y$, i believe the integral is $\frac{1}{2k_1k_2}$ – 2017-01-27
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0The integral diverges. The argument for the delta is a line and the integrand is $1\delta$ diverges along that line. – 2017-05-20