Talk:Generalized Fourier series
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I've been learning my Fourier analysis from Kenneth Howell's _Principals of Fourier Analysis_, Chapman & Hall/ CRC, copyright 2001. His formulation for the coefficients involves the complex conjugate of the φn in the integral (and his inner products use the same switch; leave the first function alone and multiply by the complex conjugate before integrating).
Did you miss a complex conjugate?
- I agree; I've changed it. Michael Hardy 19:45, 21 Oct 2004 (UTC)
I think this page should be renamed. Basically its about Orthogonal basis, and it should be named something like Orthogonal bases in L2, Examples of orthogonal bases or some such. I really suck at making up names. Any opinions? Gadykozma 03:03, 26 Oct 2004 (UTC)
- There's a little more to it than just that. Besides, that's what these expressions are called, so I'd have to disagree. Dysprosia 06:21, 26 Oct 2004 (UTC)
OK, maybe renaming was not such a hot idea. I agree that I've never seen Generalized Fourier seies used for anything else. However, Generalizations of Fourier series is used for lots of other stuff (e.g. abstract harmonic analysis). So maybe we should clarify this somehow? Gady 15:50, 9 Nov 2004 (UTC)
Shouldn't the last two equation include w(x) in the right integrals?
