6. (20pt) g(x) = Solf(x - y) + f(x + y)]h(y)dy, h(y) is arbitrary; f(x) is symmetric (i.e. its Fourier Transform symmetr
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6. (20pt) g(x) = Solf(x - y) + f(x + y)]h(y)dy, h(y) is arbitrary; f(x) is symmetric (i.e. its Fourier Transform symmetr
6. (20pt) g(x) = Solf(x - y) + f(x + y)]h(y)dy, h(y) is arbitrary; f(x) is symmetric (i.e. its Fourier Transform symmetric too). Determine g(x) using the Fourier transforms of h(y) and f(x).
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