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42Bxx

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Fourier analysis in several variables

For automorphic theory, see mainly 11F30}
  • 42B05 Fourier series and coefficients
  • 42B08 Summability
  • 42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
  • 42B15 Multipliers
  • 42B20 Singular integrals (Calderón-Zygmund, etc.)
  • 42B25 Maximal functions, Littlewood-Paley theory
  • 42B30 $H^p$-spaces
  • 42B35 Function spaces arising in harmonic analysis
  • 42B99 None of the above, but in this section