Complex Convexity and Analytic Functionals

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Mats Andersson

Complex Convexity and Analytic Functionals

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Produktdetails

Verlag: Springer Nature
Seitenzahl: 160
Erscheinungstermin: 8. Juli 2004
Englisch
ISBN-13: 9780817624200
ISBN-10: 0817624201
Artikelnr.: 42200861

Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Herstellerkennzeichnung
Produktsicherheitsverantwortliche/r
Europaallee 1
36244 Bad Hersfeld
gpsr@libri.de

Inhaltsangabe

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.

Inhaltsangabe

Rezensionen

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)