Recent content by shekharc
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Graduate Convolution and space-time Fourier transform
Dear Jason, Thanks for your suggestions. In fact, I was a bit confused because of involvement of both space and time in the Fourier transform. Anyway, I did it (hopefully correctly) by taking Fourier transforms two times; first, I took the transform with respect to space, and then with respect...- shekharc
- Post #3
- Forum: Differential Equations
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Graduate Convolution and space-time Fourier transform
Hi, I have a general function u(x,y,z,t). Then, (1) what would be the space-time Fourier transform of G⊗(∂nu/∂tn) and (2) would the relation G⊗(∂nu/∂tn) = ∂n(G⊗u)/∂tn hold true? Here, note that the symbol ⊗ represents convolution and G is a function of (x,y,z) only (i.e. it does not depend on...- shekharc
- Thread
- Convolution Fourier Fourier transform Multidimensional Space-time Transform
- Replies: 2
- Forum: Differential Equations