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