On a class of nonlinear cross-correlation equations
نویسنده
چکیده
Nonlinear cross-correlation equations in finite and semi-infinite intervals are studied by means of Fourier transform and Cauchy integral techniques. The equations are reduced to a bilinear conjugacy problem for two analytic functions on the real axis which can be solved in explicit form. In particular, Engibaryan’s equations from nonlinear factorization theory of Wiener-Hopf integral equations are treated in more complete manner than in the previous literature.
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