Kahane, Jean-Pierre; Salem, Raphaèl Ensembles parfaits et séries trigonométriques. (French) Zbl 0112.29304 Actualités Scientifiques et Industrielles. 1301. Paris: Hermann & Cie. 192 pp. F 27.00 (1963). Reviewer: Julian Musielak (Poznań) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 135 Documents MSC: 42-02 Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces 43-02 Research exposition (monographs, survey articles) pertaining to abstract harmonic analysis 42A63 Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization 43A45 Spectral synthesis on groups, semigroups, etc. 43A46 Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) 11K70 Harmonic analysis and almost periodicity in probabilistic number theory Keywords:capacities of sets; sets of uniqueness; set of multiplicity; trigonometric series; pseudofunction; pseudomeasure; hyperfunction; sets of absolute convergence; sets of divergence of trigonometric series; Malliavin; harmonic synthesis; Helson set; Carleson set; lacunary Fourier series PDFBibTeX XML