The Fourier transform time-scaling property states that if the Fourier transform of f(x) is F(omega), then the Fourier transform of the scaled function f(ax) is (1/|a|) F(omega/a); this property describes how compressing or stretching a function in the space/time domain correspondingly stretches or compresses (and rescales the amplitude of) its Fourier transform in the frequency domain.
Given that the Fourier transform of f(x) is F(omega) = 5 sin(5 omega), the Fourier transform of the scaled function f(5x) is obtained using the...
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