Extension of Holomorphic Functions

Author:   Marek Jarnicki ,  Peter Pflug
Publisher:   De Gruyter
Edition:   Reprint 2011
Volume:   34
ISBN:  

9783110153637


Pages:   497
Publication Date:   26 October 2000
Recommended Age:   College Graduate Student
Replaced By:   9783110627664
Format:   Hardback
Availability:   Out of stock   Availability explained


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Extension of Holomorphic Functions


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Author:   Marek Jarnicki ,  Peter Pflug
Publisher:   De Gruyter
Imprint:   De Gruyter
Edition:   Reprint 2011
Volume:   34
Dimensions:   Width: 17.00cm , Height: 3.30cm , Length: 24.00cm
Weight:   0.959kg
ISBN:  

9783110153637


ISBN 10:   3110153637
Pages:   497
Publication Date:   26 October 2000
Recommended Age:   College Graduate Student
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Replaced By:   9783110627664
Format:   Hardback
Publisher's Status:   Unknown
Availability:   Out of stock   Availability explained

Table of Contents

Riemann domains - Riemann domains over Cn; holomorphic functions; examples of Riemann regions; holomorphic extension of Riemann domains; the boundary of a Riemann domain; union, intersection, and direct limit of Riemann domains; domains of existence; maximal holomorphic extensions; liftings of holomorphic mappings I; holomorphic convexity; Riemann surfaces; pseudocenvexity - Plurisubharmonic functions; pseudoconvexity; the Kiselman minimum principle; d-operator; solution of the Levi problem; regular solutions; approximation; the Remmert embedding theorem; the Docquier-Grauert criteria; the division theorem; spectrum; liftings of holomorphic mappings II; envelopes of holomorphy for special domains - Univalent envelopes of holomorphy; k-tubular domains; matrix Reinhardt domains; the envelope of holomorphy of X/M; separately holomorphic functions; extension of meromorphic functions; existence domains of special families of holomorphic functions - special domains; the Ohsawa-Takegoshi extension theorem; the Skoda division theorem; the Catlin-Hakim-Sibony theorem; structure of envelopes of holomorphy.

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