Extensions of meromorphic function rings over noncompact Riemann surfaces. I, II

DOI10.1007/BF01112161zbMath0163.09501OpenAlexW2034638602MaRDI QIDQ2528983

Norman L. Alling

Publication date: 1966

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/170601

zbMATH Keywords

complex functions

Related Items

Ideals of bounded holomorphic functions on simple n-sheeted discs ⋮ Projections to Automorphic Functions ⋮ On Holomorphic Families of Holomorphic Maps ⋮ Modules Over Polydisc Algebras ⋮ Primitive holomorphic maps of curves ⋮ Construction of Hardy spaces on Riemann surfaces with boundaries ⋮ The Closed Ideals in a Function Algebra ⋮ Bounded extensions. The case of discs in polydiscs ⋮ On some algebras of analytic functions on finite open Riemann surfaces ⋮ The Corona theorem on the complement of certain square Cantor sets ⋮ Corona Problem for H ∞ on Riemann Surfaces ⋮ Critical points of Green's function, harmonic measure, and the corona problem

Cites Work

• The closed maximal ideals of algebras of functions holomorphic on a Riemann surface
• The valuation theory of meromorphic function fields over open Riemann surfaces
• Interpolations by bounded analytic functions and the corona problem
• Open Riemann surfaces and extremal problems on compact subregions
• Rings of Meromorphic Functions
• Two theorems concerning functions holomorphic on multiply connected domains
• Unbounded Coverings of Riemann Surfaces and Extensions of Rings of Meromorphic Functions
• A proof of the Corona conjecture for finite open Riemann surfaces
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