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Paul
Posts:
719
Registered:
7/12/10


Elementary Fourier analysis
Posted:
Apr 23, 2013 6:27 AM


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



