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
- 42A05 Trigonometric polynomials, inequalities, extremal problems
- 42A10 Trigonometric approximation
- 42A15 Trigonometric interpolation
- 42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series [For automorphic theory, see mainly 11F30]
- 42A20 Convergence and absolute convergence of Fourier and trigonometric series
- 42A24 Summability and absolute summability of Fourier and trigonometric series
- 42A32 Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.)
- 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
- 42A45 Multipliers
- 42A50 Conjugate functions, conjugate series, singular integrals
- 42A55 Lacunary series of trigonometric and other functions; Riesz products
- 42A61 Probabilistic methods
- 42A63 Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization
- 42A65 Completeness of sets of functions
- 42A70 Trigonometric moment problems
- 42A75 Classical almost periodic functions, mean periodic functions [See also 43A60]
- 42A82 Positive definite functions
- 42A85 Convolution, factorization
- 42A99 None of the above, but in this section
- 42Bxx Fourier analysis in several variables [For automorphic theory, see mainly 11F30]
- 42Cxx Nontrigonometric Fourier analysis
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