Analytic Discs and Uniform Algebras on Real-Analytic Varieties

Alexander J. Izzo

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arXiv · 1707.01438

Analytic Discs and Uniform Algebras on Real-Analytic Varieties

Alexander J. Izzo

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Abstract

Under very general conditions it is shown that if $A$ is a uniform algebra generated by real-analytic functions, then either $A$ consists of all continuous functions or else there exists a disc on which every function in $A$ is holomorphic. This strengthens several earlier results concerning uniform algebras generated by real-analytic functions.

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BibTeX RIS

Alexander J. Izzo. 2017-07-03. Analytic Discs and Uniform Algebras on Real-Analytic Varieties. https://arxiv.org/abs/1707.01438

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