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< | 42-XX | 42Bxx >
42-XX Harmonic analysis on Euclidean spaces
42Axx Harmonic 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 in one variable harmonic analysis
42A50   Conjugate functions, conjugate series, singular integrals
42A55   Lacunary series of trigonometric and other functions; Riesz products
42A61   Probabilistic methods for one variable harmonic analysis
42A63   Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization
42A65   Completeness of sets of functions in one variable harmonic analysis
42A70   Trigonometric moment problems in one variable harmonic analysis
42A75   Classical almost periodic functions, mean periodic functions [See also 43A60]
42A82   Positive definite functions in one variable harmonic analysis
42A85   Convolution, factorization for one variable harmonic analysis
42A99   None of the above, but in this section
< | 42-XX | 42Bxx >
 
 
American Mathematical Society