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Homogeneous conservative Wiener-Hopf equation
Sbornik: Mathematics, 2007The existence of a -solution of the homogeneous generalized Wiener-Hopf equation is proved, where is a probability distribution of recurrent type in . Asymptotic properties of this solution are established. Bibliography: 10 titles.
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Extremum Problem for the Wiener–Hopf Equation
Ukrainian Mathematical Journal, 2000Summary: The extremum problem for the Wiener-Hopf equation obtained by replacing the condition \(u(x)=0\), \(x < 0,\) by the condition of minimum of the quadratic functional of the function \(u(x)\exp(-x ...
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1991
Wiener and Hopf1 used a novel technique to solve Milne’s equation, which comes up in the theory of radiative equilibrium of stellar atmospheres:
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Wiener and Hopf1 used a novel technique to solve Milne’s equation, which comes up in the theory of radiative equilibrium of stellar atmospheres:
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A Probabilistic Look at the Wiener--Hopf Equation
SIAM Review, 1998The Wiener-Hopf integral equation \[ Z(x)=z(x)+ \int^x_{-\infty} Z(x-y)F(dy), \quad x\geq 0, \] is analysed by purely probabilistic methods. The author investigates the nonnegative solutions \(Z\) of the equation assuming \(z\) to be nonnegative and bounded on finite intervals and \(F\) to be a probability measure with existing mean \(\mu\). He applies
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THE WIENER-HOPF EQUATION AND BLASCHKE PRODUCTS
Mathematics of the USSR-Sbornik, 1991A Wiener-Hopf operator A is studied in the space of functions locally square-integrable on R and slowly increasing to ∞. The symbol of the operator is an infinitely differentiable function on R and has at ∞ a discontinuity of "vorticity point" type described either by a Blaschke function with all its zeros concentrated in a strip and bounded away from ...
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Wiener-Hopf Integral Equations, Toeplitz Matrices and Linear Systems
1982This paper contains a new method to solve Wiener-Hopf integral equations, which employs explicitly connections with linear systems. These connections are based on a special exponential operator representation of the kernel of the integral equation whose Fourier transform is analytic on the real line and at infinity. With this approach explicit formulas
Bart, H., Gohberg, I., Kaashoek, M. A.
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Sigma-Delta Modulation Based Adaptive Channel Equalizer Based on Wiener–Hopf Equations
Wireless personal communications, 2019A. Pathan, T. Memon
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THE WIENER-HOPF EQUATION IN NEVANLINNA AND SMIRNOV ALGEBRAS
Mathematics of the USSR-Izvestiya, 1988The author constructs a solution of the generalized Wiener-Hopf equation in Nevanlinna algebras \(N^{\pm}\) and Smirnov algebras \(N_*^{\pm}\). In addition the factorization problem and the Riemann-Hilbert boundary value problem in Smirnov algebras \(N_*^{\pm}\) are solved.
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On the Solution of Two Coupled Wiener–Hopf Equations
, 1984V. Daniele
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An algorithm for solving discrete-time Wiener-Hopf equations based upon Euclid's algorithm
IEEE Transactions on Information Theory, 1986Y. Sugiyama
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