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If the Fourier transform of the function f(x,y) is F(m,n), then the Fourier transform of the function f(2x,2y) is

  1. $\frac{1}{4} F (\frac{m}{2}, \frac{n}{2})$
  2. $\frac{1}{4} F (2m, 2n)$
  3. $\frac{1}{4} F (m,n)$
  4. $\frac{1}{4} F (\frac{m}{4}, \frac{n}{4})$
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