Genchev, Todor G. A solution of the trigonometric moment problem via Tagamlitzki’s ”Theorem of the cones”. (English) Zbl 0735.42007 PLISKA, Stud. Math. Bulg. 11, 35-39 (1991). A sequence \(\{c_ n\}_{n=-\infty}^ \infty\) of complex numbers is a moment sequence if there exists a nondecreasing function \(\alpha:[0,2\pi]\to\mathbb{R}\) such that the inequalities \[ c_ n=\int_ 0^{2\pi}e^{int}d\alpha(t),\qquad n\in\mathbb{Z}, \] hold. Using Tagamlitzki’s “Theorem of the cones”, the author proves a classical F. Riesz’ theorem about trigonometric moment problem. Reviewer: B.Osilenker (Moskva) Cited in 1 Document MSC: 42A70 Trigonometric moment problems in one variable harmonic analysis 30E05 Moment problems and interpolation problems in the complex plane Keywords:moment sequence; Tagamlitzki’s theorem of the cones; F. Riesz’ theorem; trigonometric moment problem PDFBibTeX XMLCite \textit{T. G. Genchev}, PLISKA, Stud. Math. Bulg. 11, 35--39 (1991; Zbl 0735.42007)