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Topic: Elementary Fourier analysis
Replies: 2   Last Post: Apr 23, 2013 11:34 AM

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Posts: 780
Registered: 7/12/10
Elementary Fourier analysis
Posted: Apr 23, 2013 6:27 AM
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As I understand it, the sum from n = -infinity to n = infinity of c_n exp(inx) is defined as the limit as N tends to infinity of the sum from -N to N of c_n exp(inx).

Suppose the infinite sum is defined as lim N -> infinity, M-> infinity [ the sum from n = - M to n = N] of c_n exp(inx), then does the basic theory change? Would Parseval's theorem fail to hold with this alternative definition?

Thank you,

Paul Epstein

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