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• Wiener–Hopf_method abstract "The Wiener–Hopf method is a mathematical technique widely used in applied mathematics. It was initially developed by Norbert Wiener and Eberhard Hopf as a method to solve systems of integral equations, but has found wider use in solving two-dimensional partial differential equations with mixed boundary conditions on the same boundary. In general, the method works by exploiting the complex-analytical properties of transformed functions. Typically, the standard Fourier transform is used, but examples exist using other transforms, such as the Mellin transform. In general, the governing equations and boundary conditions are transformed and these transforms are used to define a pair of complex functions (typically denoted with '+' and '−' subscripts) which are respectively analytic in the upper and lower halves of the complex plane, and have growth no faster than polynomials in these regions. These two functions will also coincide on some region of the complex plane, typically, a thin strip containing the real line. Analytic continuation guarantees that these two functions define a single function analytic in the entire complex plane, and Liouville's theorem implies that this function is an unknown polynomial, which is often zero or constant. Analysis of the conditions at the edges and corners of the boundary allows one to determine the degree of this polynomial.".
• Wiener–Hopf_method wikiPageExternalLink Category:Wiener-Hopf.
• Wiener–Hopf_method wikiPageID "4363034".
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• Wiener–Hopf_method wikiPageOutDegree "21".
• Wiener–Hopf_method wikiPageRevisionID "701315658".
• Wiener–Hopf_method wikiPageWikiLink Analytic_continuation.
• Wiener–Hopf_method wikiPageWikiLink Analytic_function.
• Wiener–Hopf_method wikiPageWikiLink Applied_mathematics.
• Wiener–Hopf_method wikiPageWikiLink Boundary_value_problem.
• Wiener–Hopf_method wikiPageWikiLink Category:Partial_differential_equations.
• Wiener–Hopf_method wikiPageWikiLink Complex_analysis.
• Wiener–Hopf_method wikiPageWikiLink Complex_plane.
• Wiener–Hopf_method wikiPageWikiLink Eberhard_Hopf.
• Wiener–Hopf_method wikiPageWikiLink Fourier_transform.
• Wiener–Hopf_method wikiPageWikiLink Integral_equation.
• Wiener–Hopf_method wikiPageWikiLink Liouvilles_theorem_(complex_analysis).
• Wiener–Hopf_method wikiPageWikiLink Mellin_transform.
• Wiener–Hopf_method wikiPageWikiLink Norbert_Wiener.
• Wiener–Hopf_method wikiPageWikiLink Ordinary_differential_equation.
• Wiener–Hopf_method wikiPageWikiLink Partial_differential_equation.
• Wiener–Hopf_method wikiPageWikiLink Polynomial.
• Wiener–Hopf_method wikiPageWikiLink Real_line.
• Wiener–Hopf_method wikiPageWikiLink Wiener_filter.
• Wiener–Hopf_method wikiPageWikiLinkText "Wiener–Hopf factorization".
• Wiener–Hopf_method wikiPageWikiLinkText "Wiener–Hopf method".
• Wiener–Hopf_method wikiPageWikiLinkText "Wiener–Hopf".
• Wiener–Hopf_method wikiPageUsesTemplate Template:Math.
• Wiener–Hopf_method wikiPageUsesTemplate Template:Mvar.
• Wiener–Hopf_method wikiPageUsesTemplate Template:SpringerEOM.
• Wiener–Hopf_method subject Category:Partial_differential_equations.
• Wiener–Hopf_method hypernym Technique.
• Wiener–Hopf_method type TopicalConcept.
• Wiener–Hopf_method type Redirect.
• Wiener–Hopf_method comment "The Wiener–Hopf method is a mathematical technique widely used in applied mathematics. It was initially developed by Norbert Wiener and Eberhard Hopf as a method to solve systems of integral equations, but has found wider use in solving two-dimensional partial differential equations with mixed boundary conditions on the same boundary. In general, the method works by exploiting the complex-analytical properties of transformed functions.".
• Wiener–Hopf_method label "Wiener–Hopf method".
• Wiener–Hopf_method sameAs Q2079672.
• Wiener–Hopf_method sameAs Método_de_Wiener–Hopf.
• Wiener–Hopf_method sameAs m.0bz8br.
• Wiener–Hopf_method sameAs Уравнение_Винера_—_Хопфа.
• Wiener–Hopf_method sameAs Метод_Вінера-Хопфа.
• Wiener–Hopf_method sameAs Q2079672.
• Wiener–Hopf_method wasDerivedFrom Wiener–Hopf_method?oldid=701315658.
• Wiener–Hopf_method isPrimaryTopicOf Wiener–Hopf_method.