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Abstract harmonic analysis

{For other analysis on topological and Lie groups, see 22Exx}
  • 43-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 43-01 Instructional exposition (textbooks, tutorial papers, etc.)
  • 43-02 Research exposition (monographs, survey articles)
  • 43-03 Historical (must also be assigned at least one classification number from Section 01)
  • 43-04 Explicit machine computation and programs (not the theory of computation or programming)
  • 43-06 Proceedings, conferences, collections, etc.

  • 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 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. [See also 40J05]
  • 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. [See also 22A10, 22A20, 22Dxx, 22E45]
  • 43A70 Analysis on specific locally compact abelian groups [See also 11R56, 22B05]
  • 43A75 Analysis on specific compact groups
  • 43A77 Analysis on general compact groups
  • 43A80 Analysis on other specific Lie groups [See also 22Exx]
  • 43A85 Analysis on homogeneous spaces
  • 43A90 Spherical functions [See also 22E45, 22E46, 33C65]
  • 43A95 Categorical methods [See also 46Mxx]
  • 43A99 Miscellaneous topics