Geodesic
Polyorthogonal systems of functions
Problemy fiziki, matematiki i tehniki, no. 1 (2022), pp. 89-93 Cet article a éte moissonné depuis la source Math-Net.Ru

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This article introduces multiple analogs of determinants and Gram matrices, studies the possibility of constructing polyorthogonal systems of functions using the process of polyorthogonalization of an arbitrary finite subsystem of a linearly independent system of functions $\varphi=\{\varphi_0(x), \varphi_1(x), \dots, \varphi_n(x), \dots\}$ in Pre-Hilbert function spaces generated by measures $\mu_1,\dots,\mu_k$. The proven statements are a generalization of the Gram–Schmidt orthogonalization theorem.
Mots-clés : Padé approximations, polyorthogonal polynomials
Keywords: normal index, perfect system, Gram determinant. 
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A. P. Starovoitov. Polyorthogonal systems of functions. Problemy fiziki, matematiki i tehniki, no. 1 (2022), pp. 89-93. http://geodesic.mathdoc.fr/item/PFMT_2022_1_a13/

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