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 Fantappi� transformation of analytic functionals, integral representation formulas, polynomial interpolation, and solutions to linear partial differential equations.

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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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