## Essays in commutative harmonic analysis.(English)Zbl 0439.43001

Grundlehren der mathematischen Wissenschaften 238. New York -Heidelberg - Berlin: Springer-Verlag. XXI, 464 p. DM 84.00; \$ 46.20 (1979).

### MSC:

 43-02 Research exposition (monographs, survey articles) pertaining to abstract harmonic analysis 43A15 $$L^p$$-spaces and other function spaces on groups, semigroups, etc. 43A10 Measure algebras on groups, semigroups, etc. 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 43A35 Positive definite functions on groups, semigroups, etc. 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 22D15 Group algebras of locally compact groups

### Keywords:

commutative harmonic analysis