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Fredholm resolvents, Wiener-Hopf equations, and Riccati differential equations
IEEE Transactions on Information Theory, 1969We shall show that the solution of Fredholm equations with symmetric kernels of a certain type can be reduced to the solution of a related Wiener-Hopf integral equation. A least-squares filtering problem is associated with this equation. When the kernel has a separable form, this related problem suggests that the solution can be obtained via a matrix ...
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The exact solution of Wiener-Hopf equations
2014The singularities of G(a) and [G(a)]-1 are called structural singularities, and they always have an important physical meaning. To illustrate this point, let us consider some typical W-H geometries, as shown in Fig. 1 of the Preface. These geometries may be considered as the junction of two (or more) waveguides, or as a single waveguide in which ...
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DERIVATION OF THE WIENER-HOPF INTEGRAL EQUATION
The problem with Bitsadze-Samarskii conditions on the boundary of ellipticity and a segment of the degeneracy line and the displacement condition on pieces of the boundary characteristics of the Gelleristedt equation with a singular coefficient is investigated. The uniqueness of the solution to the problem is proved using the maximum principle, and theopenaire +1 more source
The radiative transport equation and operator Wiener-Hopf equations
Functional Analysis and Its Applications, 1971openaire +1 more source
A differential equation in Wiener-Hopf theory
1984L. C. G. Rogers, David Williams
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