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43-XX 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
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American Mathematical Society