42Cxx

42B | 42 | 45

Nontrigonometric Fourier analysis

42C05Orthogonal functions and polynomials, general theory
[See also 33C45, 33C50, 33D45]
42C10Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
42C15Series of general orthogonal functions, generalized Fourier expansions, nonorthogonal expansions
42C20Rearrangements and other transformations of Fourier and other orthogonal series
42C25Uniqueness and localization for orthogonal series
42C30Completeness of sets of functions
42C40Wavelets
42C99None of the above, but in this section