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  • 43-XX Abstract harmonic analysis
  • 43Axx Abstract harmonic analysis
  • 43A75 Analysis on specific compact groups

43Axx Abstract harmonic analysis

  • 43A05 Measures on groups and semigroups, etc.
  • 43A07 Means on groups, semigroups, etc.; amenable groups
  • 43A10 Measure algebras on groups, semigroups, etc.
  • 43A15 L p -spaces and other function spaces on groups, semigroups, etc.
  • 43A17 Analysis on ordered groups, H p -theory
  • 43A20 L 1 -algebras on groups, semigroups, etc.
  • 43A22 Homomorphisms and multipliers of function spaces on groups, semigroups, etc.
  • 43A25 Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
  • 43A30 Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
  • 43A32 Other transforms and operators of Fourier type
  • 43A35 Positive definite functions on groups, semigroups, etc.
  • 43A40 Character groups and dual objects
  • 43A45 Spectral synthesis on groups, semigroups, etc.
  • 43A46 Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.)
  • 43A50 Convergence of Fourier series and of inverse transforms
  • 43A55 Summability methods on groups, semigroups, etc.
  • 43A60 Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions
  • 43A62 Hypergroups
  • 43A65 Representations of groups, semigroups, etc.
  • 43A70 Analysis on specific locally compact and other abelian groups
  • 43A75 Analysis on specific compact groups
  • 43A77 Analysis on general compact groups
  • 43A80 Analysis on other specific Lie groups
  • 43A85 Analysis on homogeneous spaces
  • 43A90 Spherical functions
  • 43A95 Categorical methods
  • 43A99 None of the above, but in this section
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