1.

Record Nr.

UNISA996479368603316

Titolo

Analytic continuation and q-convexity / / edited by Takeo Ohsawa, Thomas Pawlaschyk

Pubbl/distr/stampa

Singapore : , : Springer, , [2022]

©2022

ISBN

981-19-1239-4

Descrizione fisica

1 online resource (66 pages)

Collana

SpringerBriefs in Mathematics

Disciplina

050

Soggetti

Analytic continuation

Funcions de diverses variables complexes

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Intro -- Preface -- Acknowledgments -- Contents -- Introduction -- 1 Analytic Continuation and Classical Pseudoconvexity -- 1.1 Domains of Holomorphy -- 1.2 Plurisubharmonic Functions -- 1.3 Pseudoconvex Domains -- 2 Basics of q-Plurisubharmonic Functions -- 2.1 Basic Properties of q-Plurisubharmonic Functions -- 2.2 Approximation of q-Plurisubharmonic Functions -- 2.3 Weakly q-Plurisubharmonic Functions and Compositions -- 2.4 q-Holomorphic Functions -- 3 Analytic Continuation and q-Pseudoconvexity -- 3.1 q-Pseudoconvex Sets -- 3.2 q-Pseudoconcave Sets and Foliations -- 4 q-Convexity and q-Cycle Spaces -- 4.1 q-Convex Functions and Sets -- 4.2 Andreotti-Grauert Theory and Cycle Spaces -- 4.3 q-Convex Domains in Projective Spaces -- 4.4 q-Convexity in Analytic Families -- References -- Index.