9783764324209
Complex Convexity And Analytic Functionals (Progress In Mathematics) - Mats Andersson
Birkhäuser Basel (2004)
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Convex domains, Functionals, Functions of several complex variables

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.

Product Details
LoC Classification QA639.5 .A53 2004
Dewey 516.08
Format Hardcover
Cover Price 109,00 €
No. of Pages 160
Height x Width 240 mm
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