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                  Complex Convexity and Analytic Functionals 

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Type.................: Ebook

Part Size............: 12,264,962 bytes









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Posted by............: ~tqw~



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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.



Table of Contents



1	Convexity in real projective space	

2	Complex convexity	

3	Analytic functionals and the Fantappie transformation	

4	Analytic solutions to partial differential equations



Product Details



    * ISBN: 3764324201

    * ISBN-13: 9783764324209

    * Format: Hardcover, 160pp

    * Publisher: Birkhauser Basel

    * Pub. Date: June 2004



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