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42Cxx

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Nontrigonometric Fourier analysis
  • 42C05 Orthogonal functions and polynomials, general theory [See also 33C45, 33C50, 33D45]
  • 42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
  • 42C15 Series of general orthogonal functions, generalized Fourier expansions, nonorthogonal expansions
  • 42C20 Rearrangements and other transformations of Fourier and other orthogonal series
  • 42C25 Uniqueness and localization for orthogonal series
  • 42C30 Completeness of sets of functions
  • 42C40 Wavelets
  • 42C99 None of the above, but in this section