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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Institutionelle Grundlagen der Stadtplanung,trict our attention to elliptic equations. In section 1 we have compiled some basic facts on solutions regular at infinity. These are nothing but potentials of compactly supported distributions. In section 2 some of the recent results on removable singularities of solutions are discussed. Section 3

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,St?dtebauliche Gestaltungsplanung,metries and of groups of holomorphic automorphisms acting on hyperbolic domains, assuming as a prerequisite only a rather rudimentary knowledge of Fréchet holomorphy in complex Banach spaces. This character — quite far from any purpose of providing an exhaustive exposition of the geometry of hyperbo

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Complex dynamics in higher dimensions,hanics and functional equations. Recently, new methods from pluripotential theory have been introduced to the subject. These techniques have produced many new interesting results. We give an introduction to this subject and a summary of the most relevant developments.

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Analytic functions on Banach spaces, 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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Plurisubharmonic functions and their singularities, 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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Chebyshev-type quadratures: use of complex analysis and potential theory,results 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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