43XX 


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


4300 
General reference works (handbooks, dictionaries, bibliographies, etc.) 


4301 
Instructional exposition (textbooks, tutorial papers, etc.) 


4302 
Research exposition (monographs, survey articles) 


4303 
Historical (must also be assigned at least one classification number from Section 01) 


4304 
Explicit machine computation and programs (not the theory of computation or programming) 


4306 
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 FourierStieltjes transforms on locally compact abelian groups 


43A30 
Fourier and FourierStieltjes 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 