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Synopsis
The topic of complex convexity is a fascinating blend, exhibiting a profound interplay between geometry, topology and analysis. The present book puts the modern theory of complex linear convexity on a solid footing, and gives a thorough and up-to-date survey of its current status. Applications include the Fantappiè transformation of analytic functionals, integral representation formulas, polynomial interpolation, and solutions to linear partial differential equations.
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Review
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“This valuable monograph, which was in preparation for a decade, ... The book consists of four chapters, each of which begins with a helpful summary and concludes with bibliographic references and historical comments.”(ZENTRALBLATT MATH)
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Complex Convexity and Analytic Functionals (Progress in Mathematics)
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Complex Convexity and Analytic Functionals (Progress in Mathematics)
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Complex Convexity and Analytic Functionals (Progress in Mathematics)
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Complex Convexity and Analytic Functionals (Progress in Mathematics)
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Complex Convexity and Analytic Functionals
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Complex Convexity and Analytic Functionals
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Complex Convexity and Analytic Functionals
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - A set in complex Euclidean space is called C-convex if all its intersections with complex lines are contractible, and it is said to be linearly convex if its complement is a union of complex hyperplanes. These notions are intermediates between ordinary geometric convexity and pseudoconvexity. Their importance was first manifested in the pioneering work of André Martineau from about forty years ago. Since then a large number of new related results have been obtained by many different mathematicians. The present book puts the modern theory of complex linear convexity on a solid footing, and gives a thorough and up-to-date survey of its current status. Applications include the Fantappié transformation of analytic functionals, integral representation formulas, polynomial interpolation, and solutions to linear partial differential equations. Seller Inventory # 9783034896054
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Complex Convexity and Analytic Functionals (Progress in Mathematics)
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Complex Convexity and Analytic Functionals
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Complex Convexity and Analytic Functionals
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The topic of complex convexity is a fascinating blend, exhibiting a profound interplay between geometry, topology and analysis Gives the first comprehensive account of the theory, as well as its applications in various areas of mathematics. Seller Inventory # 4319418
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