Complex Convexity and Analytic Functionals

Mats Andersson

ISBN 10: 3764324201 / ISBN 13: 9783764324209

Edité par Birkhäuser Basel, Birkhäuser Basel Apr 2004, 2004

A propos de cet article

Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 180 pp. Englisch.

N° de réf. du vendeur 9783764324209

Détails bibliographiques

• Titre: Complex Convexity and Analytic Functionals
• Éditeur: Birkhäuser Basel, Birkhäuser Basel Apr 2004
• Date de parution: 2004
• Langue: anglais
• ISBN à 10 chiffres: 3764324201
• ISBN à 13 chiffres: 9783764324209
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 241 L x 160 H x 15 P (en millimètres) 241 millimètres de largeur par 160 millimètres de hauteur par 15 millimètres de profondeur
• Poids: 442 grammes

A propos de ce titre

Synopsis

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