[6 points] A T-periodic function h: R+R is called piecewise continuous if there exists decomposition () = to

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6 Points A T Periodic Function H R R Is Called Piecewise Continuous If There Exists Decomposition To Ti T 1 (36.81 KiB) Viewed 18 times

[6 points] A T-periodic function h: R+R is called piecewise continuous if there exists decomposition () = to <tı <... <tm = T of the interval [0, T) such that h(t) is continuous on (tx-1,tk), k = 1,..., m and there exist one-sided limits of h(t) at tk. Let f.g: R+R be two piecewise continuous T-periodic functions with identical Fourier coefficients. Show that f(t) = g(t) for all t ER except those t where f and g have jumps.