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42Axx - Fourier analysis in one variable

42A05 - Trigonometric polynomials, inequalities, extremal problems
42A10 - Trigonometric approximation
42A16 - Fourier coefficients, Fourier series of functions with special properties, special Fourier series
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
42A82 - Positive definite functions
42A85 - Convolution, factorization
42A99 - Miscellaneous
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