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I have a general function u(x,y,z,t). Then, (1) what would be the space-time Fourier transform of G⊗(∂

^{n}u/∂t

^{n}) and (2) would the relation G⊗(∂

^{n}u/∂t

^{n}) = ∂

^{n}(G⊗u)/∂t

^{n}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 time).

Any answer would appreciated. Thanks!!

-Chandra