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MSC2020 · 43Axx

Abstract harmonic analysis

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

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Subcategories

43A05Measures on groups and semigroups, etc.043A07Means on groups, semigroups, etc.; amenable groups043A10Measure algebras on groups, semigroups, etc.043A15LpL^p-spaces and other function spaces on groups, semigroups, etc.043A17Analysis on ordered groups, HpH^p-theory043A20L1L^1-algebras on groups, semigroups, etc.043A22Homomorphisms and multipliers of function spaces on groups, semigroups, etc.043A25Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups043A30Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.043A32Other transforms and operators of Fourier type043A35Positive definite functions on groups, semigroups, etc.043A40Character groups and dual objects043A45Spectral synthesis on groups, semigroups, etc.043A46Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.)043A50Convergence of Fourier series and of inverse transforms043A55Summability methods on groups, semigroups, etc.043A60Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions043A62Harmonic analysis on hypergroups043A65Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis)043A70Analysis on specific locally compact and other abelian groups043A75Harmonic analysis on specific compact groups043A77Harmonic analysis on general compact groups043A80Analysis on other specific Lie groups043A85Harmonic analysis on homogeneous spaces043A90Harmonic analysis and spherical functions043A95Categorical methods for abstract harmonic analysis043A99Abstract harmonic analysis0

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Journals & articles in MSC 43

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Analysis & PDE ↗

Mathematical Sciences Publishers

Analysis and partial differential equations

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    MSC2020 © Mathematical Reviews (AMS) and zbMATH · CC BY-NC-SA 4.0 · Official PDF, page 114