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On the theory of KM2O-Langevin equations for stationary flows (3): extension theorem
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2000
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Spectral TheoryEngineeringPhysicsNatural SciencesStochastic CalculusExtension TheoremKm2o-langevin EquationsFluctuation-dissipation TheoremBrownian MotionStationary FlowsFunctional AnalysisStationary FlowExtension ProblemIntegrable SystemStochastic Differential EquationNonlinear Functional Analysis
In this paper, we prove an extension theorem for a given stationary flow from the pointview of the fluctuation-dissipation theorem and apply it to an extension problem for a given positive definite matrix function with Toeplitz condition defined on a finite set.