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