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catcherintherye
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I am solving laplaces equation in the half plane and I have the following boundary condition of which I need to find the Fourier transform in the x-direction
S_\epsilon(x) = sgn(x)exp(\epsilon|x|), \epsilon >0
sgn(x)=\left\{\begin{array}{cc}1,&\mbox{ if }<br /> x<0\\-1, & \mbox{ if } x<0\\ 0, &\mbox{ if } x=0\end{array}\right.
any hints on how to approach this FT??
S_\epsilon(x) = sgn(x)exp(\epsilon|x|), \epsilon >0
sgn(x)=\left\{\begin{array}{cc}1,&\mbox{ if }<br /> x<0\\-1, & \mbox{ if } x<0\\ 0, &\mbox{ if } x=0\end{array}\right.
any hints on how to approach this FT??
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