Complex Convexity and Analytic Functionals (Progress in Mathematics, 225, Band 225) - Hardcover

Andersson, Mats; Passare, Mikael; Sigurdsson, Ragnar

 
9783764324209: Complex Convexity and Analytic Functionals (Progress in Mathematics, 225, Band 225)
Hardcover
ISBN 10: 3764324201 ISBN 13: 9783764324209
Verlag: Birkhäuser, 2004

Inhaltsangabe

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.

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Verlag
Birkhäuser
Erscheinungsdatum
2004
Sprache
Englisch
ISBN 10 
3764324201
ISBN 13 
9783764324209
Einband
Gebundene Ausgabe
Anzahl der Seiten
175
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ISBN 10:  3034896050 ISBN 13:  9783034896054
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Softcover