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Multiple factorization of convolution-type integral operators. (English. Russian original) Zbl 0944.45002
Comput. Math. Math. Phys. 37, No. 4, 435-446 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 4, 447-458 (1997).
Several methods are proposed for the decomposition of an integral operator $$I-K$$, where $$I$$ is the identity operator and $$K$$ is a Wiener-Hopf integral operator, into three or more factors. Main attention is paid to the case when the initial kernel $$K(x-t)$$ is represented in the form of superposition of exponentials. The decompositions and a priori bounds obtained can be used for solving the corresponding integral equations.

##### MSC:
 45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) 65R20 Numerical methods for integral equations 47A68 Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators