Optimal synthesis, light scattering, and diffraction on a ribbon
are just some of the applied problems for which integral equations
with difference kernels are employed. The same equations are also
met in important mathematical problems such as inverse spectral
problems, nonlinear integral equations, and factorization of
operators.
On the basis of the operator identity method, the theory of
integral operators with difference kernels is developed here, and
the connection with many applied and theoretical problems is
studied. A number of important examples are analyzed.
General
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