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43A Abstract Harmonic Analysis

 

43-XX   Abstract harmonic analysis

 [For other analysis on topological and Lie groups, see 22Exx

43Axx  Abstract harmonic analysis [For other analysis on topological and Lie groups, see22Exx

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 and other 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 22A1022A20,22Dxx22E45

43A70  Analysis on specific locally compact and other abelian groups [See also11R5622B05

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 22E4522E4633C55

43A95  Categorical methods [See also 46Mxx]

43A99  None of the above, but in this section

 

 

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