La Classification Mathématique par matières 2000
Mathematics subject Classification 2000Retour aux chapitres de la classification 42-XX Fourier analysis
- 42-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
- 42-01 Instructional exposition (textbooks, tutorial papers, etc.)
- 42-02 Research exposition (monographs, survey articles)
- 42-03 Historical (must also be assigned at least one classification number from Section 01)
- 42-04 Explicit machine computation and programs (not the theory of computation or programming)
- 42-06 Proceedings, conferences, collections, etc.
- 42-99 Fourier analysis (not classified at a more specific level)
- 42Axx Fourier analysis in one variable
- 42Bxx Fourier analysis in several variables [For automorphic theory, see mainly 11F30]
- 42Cxx 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 [See also 65T60] [Nouveau code MSC 2000]
- 42C99 None of the above, but in this section
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