Geodesic
Synthesis in the Polynomial Kernel of Two Analytic Functionals
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 3, pp. 251-262 
T. A. Volkovaya. Synthesis in the Polynomial Kernel of Two Analytic Functionals. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 3, pp. 251-262. http://geodesic.mathdoc.fr/item/ISU_2014_14_3_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $\pi $ be an entire function of minimal type and order $\rho=1$ and let $\pi (D)$ be the corresponding differential operator. Maximal $\pi (D)$-invariant subspace of the kernel of an analytic functional is called its $\mathbf{C}[\pi ]$-kernel. $\mathbf{C}[\pi ]$-kernel of a system of analytic functionals is called the intersection of their $\mathbf{C}[\pi ]$-kernels. The paper describes the conditions which allow synthesis of $\mathbf{C}[\pi ]$-kernels of two analytical functionals with respect to the root elements of the differential operator $\pi (D)$.

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