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43-XX Abstract harmonic analysis {For other analysis on topological and Lie groups, see 22Exx} → ZMATH
43-00 General reference works (handbooks, dictionaries, bibliographies, etc.) → ZMATH
43-01 Instructional exposition (textbooks, tutorial papers, etc.) → ZMATH
43-02 Research exposition (monographs, survey articles) → ZMATH
43-03 Historical (must also be assigned at least one classification number from Section 01) → ZMATH
43-04 Explicit machine computation and programs (not the theory of computation or programming) → ZMATH
43-06 Proceedings, conferences, collections, etc. → ZMATH
43A05 Measures on groups and semigroups, etc. → ZMATH
43A07 Means on groups, semigroups, etc.; amenable groups → ZMATH
43A10 Measure algebras on groups, semigroups, etc. → ZMATH
43A15 $L^p$-spaces and other function spaces on groups, semigroups, etc. → ZMATH
43A17 Analysis on ordered groups, ${H}^p$-theory → ZMATH
43A20 $L^1$-algebras on groups, semigroups, etc. → ZMATH
43A22 Homomorphisms and multipliers of function spaces on groups, semigroups, etc. → ZMATH
43A25 Fourier and Fourier-Stieltjes transforms on locally compact abelian groups → ZMATH
43A30 Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. → ZMATH
43A32 Other transforms and operators of Fourier type → ZMATH
43A35 Positive definite functions on groups, semigroups, etc. → ZMATH
43A40 Character groups and dual objects → ZMATH
43A45 Spectral synthesis on groups, semigroups, etc. → ZMATH
43A46 Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) → ZMATH
43A50 Convergence of Fourier series and of inverse transforms → ZMATH
43A55 Summability methods on groups, semigroups, etc. [See also 40J05] → ZMATH
43A60 Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions → ZMATH
43A62 Hypergroups → ZMATH
43A65 Representations of groups, semigroups, etc. [See also 22A10, 22A20, 22Dxx, 22E45] → ZMATH
43A70 Analysis on specific locally compact abelian groups [See also 11R56, 22B05] → ZMATH
43A75 Analysis on specific compact groups → ZMATH
43A77 Analysis on general compact groups → ZMATH
43A80 Analysis on other specific Lie groups [See also 22Exx] → ZMATH
43A85 Analysis on homogeneous spaces → ZMATH
43A90 Spherical functions [See also 22E45, 22E46, 33C65] → ZMATH
43A95 Categorical methods [See also 46Mxx] → ZMATH
43A99 Miscellaneous topics → ZMATH
Abel prize 2010
I. M. Gelfand 1913-2009

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