21. Periodic Functions and Fourier Series 1 Periodic …

In particular, the fourier series of an even function only has cosine terms and the fourier series of an odd function only has sine terms. 5 The Fourier Series of Even and Odd exten-sions For each real number we de ne the translation function T by T (x) = x+ for all x. Let L > 0, and let I = [ L;L). Notice that the collection of 2nL

  Series, Functions, Periodic, Fourier, Periodic functions and fourier series 1 periodic