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Mathematical Sciences Classification System

43Axx - Abstract harmonic analysis
{For other analysis on topological and Lie groups, see 22Exx}

• 5
  43A05
  Measures on groups and semigroups, etc.
• 10
  43A07
  Means on groups, semigroups, etc.; amenable groups
• 4
  43A10
  Measure algebras on groups, semigroups, etc.
• 4
  43A15
  $L^p$-spaces and other function spaces on groups, semigroups, etc.
• 43A17
  Analysis on ordered groups, $H^p$-theory
• 7
  43A20
  $L^1$-algebras on groups, semigroups, etc.
• 43A22
  Homomorphisms and multipliers of function spaces on groups, semigroups, etc.
• 7
  43A25
  Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
• 5
  43A30
  Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
• 1
  43A32
  Other transforms and operators of Fourier type
• 4
  43A35
  Positive definite functions on groups, semigroups, etc.
• 3
  43A40
  Character groups and dual objects
• 1
  43A45
  Spectral synthesis on groups, semigroups, etc.
• 1
  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. [See also 40J05]
• 9
  43A60
  Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions
• 2
  43A62
  Hypergroups
• 6
  43A65
  Representations of groups, semigroups, etc. [See also 22A10, 22A20, 22Dxx, 22E45]
• 43A70
  Analysis on specific locally compact and other abelian groups [See also 11R56, 22B05]
• 2
  43A75
  Analysis on specific compact groups
• 5
  43A77
  Analysis on general compact groups
• 13
  43A80
  Analysis on other specific Lie groups [See also 22Exx]
• 25
  43A85
  Analysis on homogeneous spaces
• 5
  43A90
  Spherical functions [See also 22E45, 22E46, 33C55]
• 43A95
  Categorical methods [See also 46Mxx]
• 2
  43A99
  None of the above, but in this section