Representation of holomorphic functions on coverings of pseudoconvex domains in Stein manifolds via integral formulas on these domains

DOI10.1016/J.JFA.2005.06.004zbMath1090.32001OpenAlexW2070390900MaRDI QIDQ2368780

Alexander Brudnyi

Publication date: 28 April 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2005.06.004

zbMATH Keywords

coveringStein manifoldintegral formulastrongly pseudoconvex set

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Stein spaces (32E10) Banach spaces of continuous, differentiable or analytic functions (46E15) Strongly pseudoconvex domains (32T15)

Related Items (10)

HARTOGS TYPE THEOREMS ON COVERINGS OF STEIN MANIFOLDS ⋮ Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. II ⋮ The Levi problem on strongly pseudoconvex \(G\)-bundles ⋮ Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. I. ⋮ Unitary representations of unimodular Lie groups in Bergman spaces ⋮ On holomorphic \(L^2\) functions on coverings of strongly pseudoconvex manifolds ⋮ On the approximation property for Banach spaces predual to \(H^\infty\)-spaces ⋮ Holomorphic $L^{p}$-functions on coverings of strongly pseudoconvex manifolds ⋮ On holomorphic functions of slow growth on coverings of strongly pseudoconvex manifolds ⋮ Hartogs Type Theorems for CR L² Functions on Coverings of Strongly Pseudoconvex Manifolds

Cites Work

• On Levi's problem and the imbedding of real-analytic manifolds
• Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds
• On analytic fiber bundles. I: Holomorphic fiber bundles with infinite dimensional fibers
• Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)
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