On counter orthogonalization processes

A. O. Egorshin

Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 4, pp. 371-385.

Résumé

The deduction the counter orthogonalization equation for homogeneous, i.e., generated by isometric operators, vector systems in the Hilbert space is given. The application of this theory deals, in particular, with solving the Toeplitz algebraic and integral equations, some problems of the signals estimation, inverse problems of mathematical modeling, and identification.

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