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math.CV2013
Noncoherence of some rings of holomorphic functions in several variables as an easy consequence of the one-variable case
Raymond Mortini, Amol Sasane
Using the facts that the disk algebra and the Wiener algebra are not coherent, we prove that the polydisc algebra, the ball algebra and the Wiener algebra of the polydisc are not c…
math.CV2013
Corona-type theorems and division in some function algebras on planar domains
Raymond Mortini, Rudolf Rupp
Let be an algebra of bounded smooth functions on the interior of a compact set in the plane. We study the following problem: if satisfy $|f|\leq \sum_{j=…