ON THE ANNIHILATOR OF A DOLBEAULT GROUP

DOI10.1142/S0129167X10006045zbMath1201.46041arXiv0910.0737OpenAlexW2964186541MaRDI QIDQ3553710

Imre Patyi

Publication date: 21 April 2010

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.0737

zbMATH Keywords

Banach manifoldsheaf cohomologyholomorphic convexityDolbeault groupnowhere critical holomorphic functionplurisubharmonic dominationreciprocal pairs

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Analytic sheaves and cohomology groups (32C35) Stein manifolds (32Q28) Banach analytic manifolds and spaces (32K05) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Holomorphic convexity (32E99) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Questions of holomorphy and infinite-dimensional manifolds (58B12)

Cites Work

• Spectrum and envelope of holomorphy for infinite dimensional Riemann domains
• Noncritical holomorphic functions on Stein manifolds.
• On holomorphic Banach vector bundles over Banach spaces
• Inverses depending holomorphically on a parameter in a Banach space
• An embedding theorem for pseudoconvex domains in Banach spaces
• The Dolbeault complex in infinite dimensions I
• Plurisubharmonic domination
• Analytic sheaves in Banach spaces☆

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