Geodesic
Invariant subspaces of analytic functions. III. On the extension of spectral synthesis
Sbornik. Mathematics, Tome 17 (1972) no. 3, pp. 327-348 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $f$ be a solution of the equation \begin{equation*} S*f=0 \end{equation*} with characteristic function $\varphi$, $D_f$ is the trace which is left by the associated diagram $D$ of the function $\varphi$ under a continuous translational displacement as a geometric figure on the Riemann surface of the function $f$. We show that $D_f$ is a one-sheeted simply connected region; the function $f$ can be uniformly approximated inside $D_f$ by linear combinations of elementary solutions. This result is a corollary of a more general theorem on the extension of spectral synthesis which is proved in this paper. Figures: 2. Bibliography: 14 titles. 
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     title = {Invariant subspaces of analytic functions. {III.~On~the} extension of spectral synthesis},
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I. F. Krasichkov-Ternovskii. Invariant subspaces of analytic functions. III. On the extension of spectral synthesis. Sbornik. Mathematics, Tome 17 (1972) no. 3, pp. 327-348. http://geodesic.mathdoc.fr/item/SM_1972_17_3_a0/

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