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Hilbert spaces; compact linear operator; normal solution
The properties are studied of the best determined terms method with respect to an a priori decomposition $R(T)$. The universal approximation to the normal solution of the first kind Fredholm integral equation is found.
[1] T. Kamo: Теория возмущений линейных операторов. изд. Мир, Москва 1972.
[2] R. J. Hanson: A numerical method for solving Fredholm integral equations of the first kind using singular values. Siam J. Numer. Anal., Vol. 8, 1970, p. 616-622. MR 0293867 | Zbl 0199.50803
[3] В. А. Морозов: Линейные и нелинейные некорректные задачи. Математический анализ, том 11, Итоги науки и техники, Москва 1973, стр. 129-178. MR 0403132 | Zbl 1170.01397
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