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 of Fourier and trigonometric series
• 42A24 Summability of Fourier and trigonometric series
• 42A28 Absolute convergence, absolute summability
• 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