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Complex Convexity and Analytic Functionals~tqw~ darksiderg

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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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Release Notes
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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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