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Titlebook: Conference on the Theory of Ordinary and Partial Differential Equations; Held in Dundee/Scotl W. N. Everitt,B. D. Sleeman Conference procee

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Conference on the Theory of Ordinary and Partial Differential EquationsHeld in Dundee/Scotl
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Overview of Pediatric EchocardiographyDirichlet integral. In the here considered case with T positive a kernel representation of the resolvent is deduced and used to prove the regularity of the elements of eigenspaces belonging to finite intervals of the spectral axis. The theory was worked out independently of the investigations by F.W
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,Green’s functions for pairs of formally selfadjoint ordinary differential operators,Dirichlet integral. In the here considered case with T positive a kernel representation of the resolvent is deduced and used to prove the regularity of the elements of eigenspaces belonging to finite intervals of the spectral axis. The theory was worked out independently of the investigations by F.W
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Approximation by functions of fewer variables,r these types applications, especially to partial differential equations are given. For the product-sum-type approximation an inclusion theorem for the minimal distance is given which in special cases allows us to prove the optimality of a given approximation.
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Nikolai Kolev,Günter Huemer,Michael Zimpferr these types applications, especially to partial differential equations are given. For the product-sum-type approximation an inclusion theorem for the minimal distance is given which in special cases allows us to prove the optimality of a given approximation.
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Stochastic Taylor Formulas and Riemannian GeometryLet (.., ..) be the standard Brownian motion on a complete Riemannian manifold. We investigate the asymptotic behavior of the moments of the exit time from a geodesic ball when the radius tends to zero. This is combined with a “stochastic Taylor formula” to obtain a new expansion for the mean value of a function on the boundary of a geodesic ball.
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