Complex Convexity and Analytic Functionals

Author:   Mats Andersson ,  Mikael Passare ,  Ragnar Sigurdsson
Publisher:   Birkhauser Verlag AG
Edition:   2004 ed.
Volume:   225
ISBN:  

9783764324209


Pages:   164
Publication Date:   23 April 2004
Format:   Hardback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Complex Convexity and Analytic Functionals


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Full Product Details

Author:   Mats Andersson ,  Mikael Passare ,  Ragnar Sigurdsson
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2004 ed.
Volume:   225
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783764324209


ISBN 10:   3764324201
Pages:   164
Publication Date:   23 April 2004
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

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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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)


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)


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