Wiener-Hopf equation: Kernels representable as a superposition of complex-valued exponents (Q944150)
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scientific article; zbMATH DE number 5343538
| Language | Label | Description | Also known as |
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| English | Wiener-Hopf equation: Kernels representable as a superposition of complex-valued exponents |
scientific article; zbMATH DE number 5343538 |
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Wiener-Hopf equation: Kernels representable as a superposition of complex-valued exponents (English)
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12 September 2008
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The authors prove the unique solvability of the Wiener-Hopf integral equation \[ f(x)=g(x)+\int_0^\infty K(x-t)f(t)\,dt, \] where \(K(x)=\int_a^b e^{-| x| \lambda p}\, d\sigma(p)\) for a nondecreasing function \(\sigma\).
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Wiener-Hopf integral equation
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Wiener-Hopf factorization
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symbol of operator
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uninvertible operator
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complex-valued kernel
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