Complex Convexity and Analytic Functionals: 225 - Rilegato

Andersson, Mats; Passare, Mikael; Sigurdsson, Ragnar

 
9783764324209: Complex Convexity and Analytic Functionals: 225
Rilegato
ISBN 10: 3764324201 ISBN 13: 9783764324209
Casa editrice: Birkhauser, 2004

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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Editore
Birkhauser
Data di pubblicazione
2004
Lingua
Inglese
ISBN 10 
3764324201
ISBN 13 
9783764324209
Rilegatura
Copertina rigida
Numero di pagine
160
Contatto del produttore
non disponibile
Persona responsabile
Buchpark GmbH
gpsr@buchpark.de

Krügerweg 1
Trebbin
Brandenburg
14959
Germania

Altre edizioni note dello stesso titolo

9783034896054: Complex Convexity and Analytic Functionals: 225

Edizione in evidenza

ISBN 10:  3034896050 ISBN 13:  9783034896054
Casa editrice: Birkhäuser, 2012
Brossura