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Canonical Pseudo-Spectral Factorization and Wiener-Hopf Integral Equations
1986Wiener-Hopf integral equations with rational matrix symbols that have zeros on the real line are studied. The concept of canonical pseudo-spectral factorization is introduced, and all possible factorizations of this type are described in terms of realizations of the symbol and certain supporting projections.
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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
An indicator for Wiener-Hopf integral equations with invertible analytic symbol
Integral Equations and Operator Theory, 1985The Fredholm properties (index, kernel, image, etc.) of Wiener-Hopf integral operators are described in terms of realization of the symbol for a class of matrix symbols that are analytic on the real line but not at infinity. The realizations are given in terms of exponentially dichotomous operators.
Bart, H., Gohberg, I., Kaashoek, M.A.
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Homogeneous Wiener—Hopf Double Integral Equation with Symmetric Kernel in the Conservative Case
Mathematical Notes, 2019L. G. Arabadzhyan
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On the factorization of matrix and operator Wiener-Hopf integral equations
Izvestiya: Mathematics, 2018The paper considers the Wiener-Hopf operator \((\hat{K}f)(x)=\int _{0}^{\infty }k(x-t)f(t)dt,\, x\geq 0 \), where \(k(x)\)belongs to the Banach space \(L_{1} (G,\, (-\infty ,+\infty ))\) of Bochner strongly integrable functions with values in a Banach algebra G. The autor considers the canonical factorization problem \(I-\hat{K}=(I-\hat{V}_{-} )(I-\hat{
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An algorithm for the approximate solution of Wiener-Hopf integral equations
Communications of the ACM, 1973An explicit approximate solution ƒ ( h ) α is given for the equation ƒ( t ) = ∫ ∞ 0 k ( t - τ )ƒ(
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Superconvergence results for non-linear Hammerstein integral equations on unbounded domain
Numerical Algorithms, 2023Ritu Nigam +3 more
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The Solution Of Wiener-hopf Problems Using Dual Integral Equations.
1964PhD ; Electrical engineering ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/183857/2/6505325 ...
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