Holomorphic Functions of Slow Growth on Nested Covering Spaces of Compact Manifolds

DOI10.4153/CJM-2000-041-0zbMath0969.32001arXivmath/9808042WikidataQ125807097 ScholiaQ125807097MaRDI QIDQ4522130

Finnur Lárusson

Publication date: 30 September 2001

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

Full work available at URL: https://arxiv.org/abs/math/9808042

zbMATH Keywords

weighted Bergman spacesharmonic functionsample line bundlecovering groupdichotomyholomorphic functions of slow growthcovering spaces of projective manifoldsgenerating Hörmander algebras on covering spacesRiemann surfaces with corona

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Coverings in algebraic geometry (14E20) Holomorphic functions of several complex variables (32A10) Riemann surfaces (30F99)

Related Items (8)

Projections in the space \(H^{\infty}\) and the corona theorem for subdomains of coverings of finite bordered Riemann surfaces ⋮ Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. II ⋮ Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. I. ⋮ Grauert- and Lax-Halmos-type theorems and extension of matrices with entries in \(H^{\infty}\). ⋮ A uniqueness property for \(H^{\infty}\) on coverings of projective manifolds ⋮ Extension of matrices with entries in $H^{\infty }$ on coverings of Riemann surfaces of finite type ⋮ Corona theorem for \(H^{\infty }\) on covering of Riemann surfaces of finite type ⋮ Corona Problem for H ∞ on Riemann Surfaces

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