Mathematics Subject Classification 1991

43-XX Abstract harmonic analysis, {For other analysis on topological and Lie groups, See 22Exx} ( 0 Dok.)

• 43-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)
• 43-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 43-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 43-03 Historical (must be assigned at least one classification number from Section 01) ( 0 Dok.)
• 43-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 43-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 43A05 Measures on groups and semigroups, etc. ( 0 Dok.)
• 43A07 Means on groups, semigroups, etc.; amenable groups ( 0 Dok.)
• 43A10 Measure algebras on groups, semigroups, etc. ( 0 Dok.)
• 43A15 $L^p$-spaces and other function spaces on groups, semigroups, etc. ( 0 Dok.)
• 43A17 Analysis on ordered groups, ${H}^p$-theory ( 0 Dok.)
• 43A20 $L^1$-algebras on groups, semigroups, etc. ( 0 Dok.)
• 43A22 Homomorphisms and multipliers of function spaces on groups, semigroups, etc. ( 0 Dok.)
• 43A25 Fourier and Fourier-Stieltjes transforms on locally compact abelian groups ( 0 Dok.)
• 43A30 Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. ( 0 Dok.)
• 43A32 Other transforms and operators of Fourier type ( 0 Dok.)
• 43A35 Positive definite functions on groups, semigroups, etc. ( 0 Dok.)
• 43A40 Character groups and dual objects ( 0 Dok.)
• 43A45 Spectral synthesis on groups, semigroups, etc. ( 0 Dok.)
• 43A46 Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) ( 0 Dok.)
• 43A50 Convergence of Fourier series and of inverse transforms ( 0 Dok.)
• 43A55 Summability methods on groups, semigroups, etc., See Also { 40J05} ( 0 Dok.)
• 43A60 Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions ( 0 Dok.)
• 43A62 Hypergroups ( 0 Dok.)
• 43A65 Representations of groups, semigroups, etc., See Also { 22A10, 22A20, 22Dxx, 22E45} ( 0 Dok.)
• 43A70 Analysis on specific locally compact abelian groups, See also {11R56, 22B05} ( 0 Dok.)
• 43A75 Analysis on specific compact groups ( 0 Dok.)
• 43A77 Analysis on general compact groups ( 0 Dok.)
• 43A80 Analysis on other specific Lie groups, See also {22Exx} ( 0 Dok.)
• 43A85 Analysis on homogeneous spaces ( 0 Dok.)
• 43A90 Spherical functions, See also {22E45, 22E46, 33C65, 33D55} ( 0 Dok.)
• 43A95 Categorical methods, See also {46Mxx} ( 0 Dok.)
• 43A99 Miscellaneous topics ( 0 Dok.)