CRITERIA FOR NORMAL SOLVABILITY OF SYSTEMS OF SINGULAR INTEGRAL EQUATIONS AND WIENER-HOPF EQUATIONS
Mathematics of the USSR-Sbornik, 1970Let be the unit circle and let () be the Hilbert space of vector functions with coordinates in .Theorem. Let , () be matrices with elements continuous on . In order for the singular integral operator , from to , to be normally solvable it is necessary and sufficient for the following two conditions to be satisfied: a) The rank of each of the matrices ...
openaire +1 more source
A Wiener-Hopf integral equation arising in some inference and queueing problems
Biometrika, 1974SUMMARY The solution is presented to an integral equation of Wiener-Hopf type which has been recently treated numerically by Hinkley in connexion with the problem of inference about the change-point in a sequence of random variables. The closed form solution given here enables results to be obtained easily in situations where the numerical method fails.
openaire +2 more sources
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.
openaire +1 more source
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{
openaire +2 more sources
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.
openaire +1 more source
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 ...
openaire +2 more sources
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(
openaire +1 more source
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
Homogeneous Wiener—Hopf Double Integral Equation with Symmetric Kernel in the Conservative Case
Mathematical Notes, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
A Wiener-Hopf Integral Equation with a Nonsymmetric Kernel in the Supercritical Case
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources