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Titlebook: Complex Potential Theory; Paul M. Gauthier,Gert Sabidussi Book 1994 Springer Science+Business Media Dordrecht 1994 Banach space.Hilbert sp

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Harmonic approximation on closed subsets of Riemannian manifolds,We discuss the problem of approximating functions on a closed subset of a noncompact Riemannian manifold by functions which are harmonic on the entire manifold.
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https://doi.org/10.1007/978-3-322-87170-1both from spectral theory and several complex variables. In the introduction we describe its historical evolution from its very beginnings to the present day. Then are given the main results of the general theory of analytic multifunctions like Liouville’s theorem, the localization principle, the ho
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https://doi.org/10.1007/978-3-663-11479-6 of function theory on a Banach space, and we prove Ryan’s theorem that the Dunford-Pettis property implies the polynomial Dunford-Pettis property. Chapter 2 is devoted to extensions of analytic functions to the bidual. It includes a proof of the Aron-Hervés-Valdivia theorem. Chapter 3 is devoted to
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Stadtplanung im Geschlechterkampf and plurisubharmonic functions are discussed. It is proved that the marginal function of a plurisubharmonic function is plurisubharmonic under certain hypotheses. We study the singularities of plurisubharmonic functions using methods from convexity theory. Then in the final chapter we generalize th
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Stadtplanung im Geschlechterkampfresults of S.N. Bernstein for the interval [-1,1] are surveyed and extended. Applications are made to optimal formulas and to quadrature on domains of product type, notably the sphere. It is shown that on the sphere, good .-tuples of nodes for Chebyshev-type quadrature correspond to configurations o
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