Question

Fourier transform of F[uxx(x, t)] is __​

Answer 1

Answer:

There are two other commonly used conventions for the Fourier transform.

Some authors define the Fourier transform to split the factor of.

f ^ ( ω ) = 1 2 π ∫ − ∞ ∞ f ( t ) e − i ω t d t {\displaystyle {\hat {f}}(\omega )={\frac {1}{\sqrt {2\pi }}}\int _{-\infty }^{\infty }f(t)e^{-i\omega t}\mathrm {d} t}