(a) If f(x) is a function with unit area, show that the scaled and stretched function
Chapter 10, Problem 10.3.11(choose chapter or problem)
(a) If f(x) is a function with unit area, show that the scaled and stretched function (1/)f(x/) also has unit area. (b) If F() is the Fourier transform of f(x), show that F() is the Fourier transform of (1/)f(x/). (c) Show that part (b) implies that broadly spread functions have sharply peaked Fourier transforms near = 0, and vice versa.
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