Is the set of all trigonometric polynomials in the space of continuous functions on [$-\pi,\pi]$ which are $2\pi$-periodic dense?(with sup-norm topology)Please give hints on how to find a sequence of trigonometric functions converging to a given continuous function.Thanks in advance
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http://math.stackexchange.com/questions/381321/are-trigonometric-functions-dense-in-cks1 – M.B. Oct 11 '14 at 11:53