Polyorthogonalization in Pre-Hilbert Spaces

For a set of measure and the corresponding scalar products, we define multiple analogues of the Gram determinants and matrices. With their help, we found criteria of uniqueness and explicit form of polyorthogonal functions, obtained as a result of the described process of polyorthogonalization of li...

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Veröffentlicht in:	Lobachevskii journal of mathematics 2023-04, Vol.44 (4), p.1506-1512
Hauptverfasser:	Starovoitov, A. P., Kechko, E. P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Determinants Function space Geometry Hilbert space Mathematical Logic and Foundations Mathematics Mathematics and Statistics Probability Theory and Stochastic Processes
Online-Zugang:	Volltext
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