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Wiener-Hopf Integral Operators
1990In this chapter we deal with integral operators of the following type: Open image in new ...
Israel Gohberg +2 more
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Asymptotic expansions for Wiener–Hopf equations
Analysis and Applications, 2020Wiener–Hopf Equations are of the form [Formula: see text] These equations arise in many physical problems such as radiative transport theory, reflection of an electromagnetive plane wave, sound wave transmission from a tube, and in material science. They are also known as the renewal equations on the half-line in Probability Theory.
Li, Kui, Wong, Roderick
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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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2002
The original Wiener filtering problem concerns the problem of linear causal estimation of a wide sense stationary process. The process to be estimated is the wide sense stationary vector process {xk}. The observation data is a jointly distributed wide sense stationary process, usually modeled as the sum of the process yk and an independent zero mean ...
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The original Wiener filtering problem concerns the problem of linear causal estimation of a wide sense stationary process. The process to be estimated is the wide sense stationary vector process {xk}. The observation data is a jointly distributed wide sense stationary process, usually modeled as the sum of the process yk and an independent zero mean ...
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1977
Wir haben bisher schon einige tiefliegende Satze uber Fredholmoperatoren bewiesen — unser Beispielreservoir ist aber noch sehr klein, im Grunde banal, da wir konkret erst die folgenden Typen von Fredholmoperatoren kennengelernt haben: 1. Den identischen Operator Id 2. Den Verschiebungsoperator shift+ (bezuglich einer Orthonormalbasis)
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Wir haben bisher schon einige tiefliegende Satze uber Fredholmoperatoren bewiesen — unser Beispielreservoir ist aber noch sehr klein, im Grunde banal, da wir konkret erst die folgenden Typen von Fredholmoperatoren kennengelernt haben: 1. Den identischen Operator Id 2. Den Verschiebungsoperator shift+ (bezuglich einer Orthonormalbasis)
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Representation theory of finite groups in Wiener–Hopf factorization problem
, 2014We consider the Wiener–Hopf factorization problem for a matrix function that is completely defined by its first column: the succeeding columns are obtained from the first one by means of a finite group of permutations.
V. Adukov
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1989
Die Wiener-Hopf-Methode [6.1] beschaftigt sich mit der Losung von Differential- und Integralgleichungen, bei denen eine unabhangige Variable, z.B. x, auf einem unendlich ausgedehnten Intervall definiert ist (x ∈ (−∞, +)), das aus zwei Teilen besteht (z.B. x ∈ (−∞, a), x ∈ (a, +∞)), auf denen jeweils unterschiedliche Randbedingungen definiert sind, also
Peter Plaschko, Klaus Brod
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Die Wiener-Hopf-Methode [6.1] beschaftigt sich mit der Losung von Differential- und Integralgleichungen, bei denen eine unabhangige Variable, z.B. x, auf einem unendlich ausgedehnten Intervall definiert ist (x ∈ (−∞, +)), das aus zwei Teilen besteht (z.B. x ∈ (−∞, a), x ∈ (a, +∞)), auf denen jeweils unterschiedliche Randbedingungen definiert sind, also
Peter Plaschko, Klaus Brod
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Annals of Physics, 1957
Abstract A method due to Ambarzumian and Chandrasekhar is generalized to apply to a large class of integral equations of the Wiener-Hopf type. There seem to be two main advantages of the method: (a) many properties of solutions can be obtained in an elementary way; (b) the Wiener-Hopf factorization can be replaced by a nonlinear equation which is ...
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Abstract A method due to Ambarzumian and Chandrasekhar is generalized to apply to a large class of integral equations of the Wiener-Hopf type. There seem to be two main advantages of the method: (a) many properties of solutions can be obtained in an elementary way; (b) the Wiener-Hopf factorization can be replaced by a nonlinear equation which is ...
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1978
The solution of boundary value problems using integral transforms is comparatively easy for certain simple regions. There are many important problems, however, where the boundary data is of such a form that although an integral transform may be sensibly taken, it does not lead directly to an explicit solution. A typical problem involves a semi-infinite
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The solution of boundary value problems using integral transforms is comparatively easy for certain simple regions. There are many important problems, however, where the boundary data is of such a form that although an integral transform may be sensibly taken, it does not lead directly to an explicit solution. A typical problem involves a semi-infinite
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Wiener-Hopf Integral Equations
2000The purpose of this chapter is to study the distributional solution of the integral equations of the type $$g(x) + \lambda \int_{0}^{\infty } {k(x - y)g(y)dy = f(x), x \geqslant 0}$$ (8.1) , as well as the corresponding equations of the first kind, the so-called Wiener-Hopf integral equations.
Ricardo Estrada, Ram P. Kanwal
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