Puts the modern theory of complex linear convexity on a solid footing, and gives a survey of its status. Series: Progress in Mathematics. Num Pages: 164 pages, biography. BIC Classification: PBKF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College); (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 11. Weight in Grams: 432. . 2004. Hardback. . . . . Books ship from the US and Ireland.

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Bibliographic Details

Title: Complex Convexity and Analytic Functionals
Publisher: Birkhauser Verlag AG
Publication Date: 2004
Language: English
ISBN 10: 3764324201
ISBN 13: 9783764324209
Binding: Hardcover
Condition: New

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Synopsis

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 Andr� 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 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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