Geodesic
Local description of closed submodules of a special module of entire functions of exponential type
Sbornik. Mathematics, Tome 192 (2001) no. 11, pp. 1621-1638 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $\pi_1(z),\dots,\pi_q(z)$ be a system of polynomials of the complex variable $z$. In connection with the problem of spectral synthesis for systems of differential operators $\pi_1(D),\dots,\pi_q(D)$, $D=d/dz$, the problem of the local description of closed submodules is considered for a special module of entire functions over the ring $\mathbb C[\pi_1,\dots,\pi_q]$. It is shown that this problem can be reduced to the local description over the ring $\mathbb C[l]$, where $l$ is the Luroth polynomial associated with the system $\pi_1(z),\dots,\pi_q(z)$. 
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I. F. Krasichkov-Ternovskii; A. B. Shishkin. Local description of closed submodules of a special module of entire functions of exponential type. Sbornik. Mathematics, Tome 192 (2001) no. 11, pp. 1621-1638. http://geodesic.mathdoc.fr/item/SM_2001_192_11_a1/

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