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Titlebook: Approximation, Complex Analysis, and Potential Theory; N. Arakelian,P. M. Gauthier,G. Sabidussi Book 2001 Springer Science+Business Media

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期刊全称Approximation, Complex Analysis, and Potential Theory
影响因子2023N. Arakelian,P. M. Gauthier,G. Sabidussi
视频video
学科分类NATO Science Series II: Mathematics, Physics and Chemistry
图书封面Titlebook: Approximation, Complex Analysis, and Potential Theory;  N. Arakelian,P. M. Gauthier,G. Sabidussi Book 2001 Springer Science+Business Media
影响因子.Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present lectures show that this beautiful theory is still growing. An important tool is complex approximation and some of the lectures are devoted to this topic. Harmonic approximation started to flourish astonishingly rapidly towards the end of the 20th century, and the latest development, including approximation manifolds, are presented here...Since de Branges confirmed the Bieberbach conjecture, the primary problem in geometric function theory is to find the precise value of the Bloch constant. After more than half a century without progress, a breakthrough was recently achieved and is presented. Other topics are also presented, including Jensen measures...A valuable introduction to currently active areas of complex analysis and potential theory. Can be read with profit by both students of analysis and research mathematicians. .
Pindex Book 2001
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Harmonic approximation and its applications,scussion of the significance of the concept of thinness for harmonic approximation, and present a complete description of the closed (possibly unbounded) sets on which uniform harmonic approximation is possible. Next we demonstrate the power of such results by describing their use to solve an old pr
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Simultaneous approximation in function spaces,it disc D. Besides giving a survey of known results for the Hardy spaces and the space . (.) consisting of all analytic functions in ., we give some new results for the Dirichlet space . consisting of all analytic functions in . having finite Dirichlet integral.
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Spektroskopische Parallaxenforschung,ems associated with elliptic differential operators. In particular, we discuss uniform approximation by harmonic functions, mean approximation by solutions of elliptic equations, and the continuity of Dirichlet eigenvalues for an open set when the set is perturbed.
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,Fünfundzwanzig Jahre ,scher Wärmesatz,it disc D. Besides giving a survey of known results for the Hardy spaces and the space . (.) consisting of all analytic functions in ., we give some new results for the Dirichlet space . consisting of all analytic functions in . having finite Dirichlet integral.
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