Generalized Fourier series
In mathematical analysis, there are many potentially useful generalizations of Fourier series. For a set of square-integrable, pairwise-orthogonal (with respect to some weight function ) functions , the generalized Fourier series of a square-integrable function is
Some theorems on the coefficients include:
Bessel's Inequality
Parseval's Theorem
If is a complete set,
See also: complete set, orthogonal, square-integrable.
