Factorization of operators. Theory and applications
Copyright policy )Factorization of operators. Theory and applications
This paper gives a survey of the development of Krein's method of factorization and its applications. This includes integral operators as well as abstract operators in Hilbert space, inverse problems of spectral theory, nonlinear equations integrable by the method of the inverse problem and other cases. In the paper one finds systematization of these results.
Integral operators, integral operators, inverse problems, nonlinear equations integrable by the method of the inverse problem, Equations involving nonlinear operators (general), Krein's method of factorization, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, abstract operators in Hilbert space, spectral theory, Spectrum, resolvent
Integral operators, integral operators, inverse problems, nonlinear equations integrable by the method of the inverse problem, Equations involving nonlinear operators (general), Krein's method of factorization, Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, abstract operators in Hilbert space, spectral theory, Spectrum, resolvent
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