Basic Oka Theory in Several Complex Variables

Lingua: inglese

Editore: Springer, 2024

9819720559 / 9789819720552

Da: AHA-BUCH GmbH, Einbeck, GermaniaAHA-BUCH GmbH

Venditore con 5 stelle

Venditore AbeBooks dal 14 agosto 2006

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Descrizione dell’articolo da parte del venditore

Druck auf Anfrage Neuware - Printed after ordering - This book provides a new, comprehensive, and self-contained account of Oka theory as an introduction to function theory of several complex variables, mainly concerned with the Three Big Problems (Approximation, Cousin, Pseudoconvexity) that were solved by Kiyoshi Oka and form the basics of the theory. The purpose of the volume is to serve as a textbook in lecture courses right after complex function theory of one variable. The presentation aims to be readable and enjoyable both for those who are beginners in mathematics and for researchers interested in complex analysis in several variables and complex geometry.The nature of the present book is evinced by its approach following Oka's unpublished five papers of 1943 with his guiding methodological principle termed the 'Joku-Iko Principle', where historically the Pseudoconvexity Problem (Hartogs, Levi) was first solved in all dimensions, even for unramified Riemann domains as well.The method that is used in the book is elementary and direct, not relying on the cohomology theory of sheaves nor on the L2- -bar method, but yet reaches the core of the theory with the complete proofs.Two proofs for Levi's Problem are provided: One is Oka's original with the Fredholm integral equation of the second kind combined with the Joku-Iko Principle, and the other is Grauert's by the well-known 'bumping-method' with L. Schwartz's Fredholm theorem, of which a self-contained, rather simple and short proof is given. The comparison of them should be interesting even for specialists.In addition to the Three Big Problems, other basic material is dealt with, such as Poincaré's non-biholomorphism between balls and polydisks, the Cartan-Thullen theorem on holomorphic convexity, Hartogs' separate analyticity, Bochner's tube theorem, analytic interpolation, and others.It is valuable for students and researchers alike to look into the original works of Kiyoshi Oka, which are not easy to find in books or monographs.…

Titolo
Basic Oka Theory in Several Complex Variables
Autore
Junjiro Noguchi
Editore
Springer
Anno di pubblicazione
2024
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
9819720559
ISBN 13
9789819720552
Peso dell'articolo
371 grammi
Dimensioni
235x155x14 mm

AHA-BUCH GmbH

Einbeck, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 14 agosto 2006

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 7 a 10 giorni lavorativiDa 5 a 7 giorni lavorativi
Primo articoloEUR 35,00EUR 45,00
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AHA-BUCH GmbH

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Einbeck, Germania 37574

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AHA-BUCH GmbH
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