Mathematical Sciences Classification System
42Bxx - Harmonic analysis in several variables
{For automorphic theory, see mainly 11F30}
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42B05Fourier series and coefficients
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42B08Summability
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42B10Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
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42B15Multipliers
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42B20Singular and oscillatory integrals (Calderón-Zygmund, etc.)
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42B25Maximal functions, Littlewood-Paley theory
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42B30$H^p$-spaces
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42B35Function spaces arising in harmonic analysis
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42B37Harmonic analysis and PDE [See also 35-XX]
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42B99None of the above, but in this section