Let be the function . What's the easiest way to show that is a complete orthonormal system in the vector space of continuous periodic functions , with inner product ?
(In particular, I need to show that if f is continuous and for all then f = 0. I presume the question wants me to show it everywhere rather than almost everywhere, since this course doesn't use measure theory.)
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Completeness of Fourier basis watch
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Last edited by Zhen Lin; 10-12-2010 at 04:17.
- 10-12-2010 04:16