Articoli correlati a Complex Convexity and Analytic Functionals: 225
Sinossi
This 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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Recensione
From the reviews:
“This valuable monograph, which was in preparation for a decade, ... The book consists of four chapters, each of which begins with a helpful summary and concludes with bibliographic references and historical comments.”(ZENTRALBLATT MATH)
Contenuti
1 Convexity in Real Projective Space.- 1.1 Convexity in real affine space.- 1.2 Real projective space.- 1.3 Convexity in real projective space.- 2 Complex Convexity.- 2.1 Linearly convex sets.- 2.2 ?-convexity: Definition and examples.- 2.3 ?-convexity: Duality and invariance.- 2.4 Open ?-convex sets.- 2.5 Boundary properties of ?-convex sets.- 2.6 Spirally connected sets.- 3 Analytic Functionals and the Fantappiè Transformation.- 3.1 The basic pairing in affine space.- 3.2 The basic pairing in projective space.- 3.3 Analytic functionals in affine space.- 3.4 Analytic functionals in projective space.- 3.5 The Fantappiè transformation.- 3.6 Decomposition into partial fractions.- 3.7 Complex Kergin interpolation.- 4 Analytic Solutions to Partial Differential Equations.- 4.1 Solvability in ?-convex sets.- 4.2 Solvability and P-convexity for carriers.- References.
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- EditoreBirkhauser
- Data di pubblicazione2004
- ISBN 10 3764324201
- ISBN 13 9783764324209
- RilegaturaCopertina rigida
- LinguaInglese
- Numero di pagine160
- Contatto del produttorenon disponibile
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Complex Convexity and Analytic Functionals
Da: Buchpark, Trebbin, Germania
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Complex convexity and analytic functionals. Progress in mathematics; Bd. 225.
Da: Antiquariat Bookfarm, Löbnitz, Germania
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03930 9783764324209 Sprache: Englisch Gewicht in Gramm: 1050. Codice articolo 2489864
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Complex Convexity and Analytic Functionals
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The topic of complex convexity is a fascinating blend, exhibiting a profound interplay between geometry, topology and analysis Gives the first comprehensive account of the theory, as well as its applications in various areas of mathematics. Codice articolo 5278923
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Complex Convexity and Analytic Functionals
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Springer, Basel, Birkhäuser Basel, Birkhäuser Apr 2004, 2004
ISBN 10: 3764324201
ISBN 13: 9783764324209
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - 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. 164 pp. Englisch. Codice articolo 9783764324209
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Complex Convexity and Analytic Functionals
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9783764324209
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Complex Convexity and Analytic Functionals
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Birkhäuser Basel, Birkhäuser Basel Apr 2004, 2004
ISBN 10: 3764324201
ISBN 13: 9783764324209
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Buch. Condizione: Neu. 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. Codice articolo 9783764324209
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Hardback or Cased Book. Condizione: New. Complex Convexity and Analytic Functionals 0.95. Book. Codice articolo BBS-9783764324209
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Complex Convexity and Analytic Functionals
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Complex Convexity and Analytic Functionals (Progress in Mathematics, 225)
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