Geodesic
On the Representation of Sobolev Systems Orthogonal with Respect to the Inner Product with One Discrete Point
Matematičeskie zametki, Tome 111 (2022) no. 4, pp. 561-570.

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We obtain the representation of systems of functions $\Phi_1$ orthogonal with respect to the Sobolev-type inner product with one discrete point in terms of functions of systems orthogonal in $L^2$. Questions relating to the completeness of the system $\Phi_1$ are investigated. Some properties of systems of functions obtained by differentiating the system $\Phi_1$ are studied.
Keywords: Sobolev orthogonality, completeness of orthogonal systems, representation of Sobolev systems, differentiation of Sobolev systems. 
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     title = {On the {Representation} of {Sobolev} {Systems} {Orthogonal} with {Respect} to the {Inner} {Product} with {One} {Discrete} {Point}},
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M. G. Magomed-Kasumov; T. N. Shakh-Emirov. On the Representation of Sobolev Systems Orthogonal with Respect to the Inner Product with One Discrete Point. Matematičeskie zametki, Tome 111 (2022) no. 4, pp. 561-570. http://geodesic.mathdoc.fr/item/MZM_2022_111_4_a7/

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