Let f be a piecewise continuous function which is L-periodic. Let a be a real number,...
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Let f be a piecewise continuous function which is L-periodic. Let a be a real number, and define g(x) = f(x+a). In other words, g is obtained from f by a translation to the left by a. Please show that the Fourier coefficients of g are given by ĝ(n): 2mina f(n). 2πίηα =eL Let f be a piecewise continuous function which is L-periodic. Let a be a real number, and define g(x) = f(x+a). In other words, g is obtained from f by a translation to the left by a. Please show that the Fourier coefficients of g are given by ĝ(n): 2mina f(n). 2πίηα =eL
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ANSWER Solution The Fourier coefficients are given by n 1202 1129a... View the full answer
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