The Bohr Radius for an Elliptic Condenser
Patrice Lass\`ere, Emmanuel Mazzilli
TL;DR
This paper calculates the precise Bohr radius for an elliptic condenser in the complex plane using its Faber polynomial basis, advancing understanding of complex analysis and potential theory.
Contribution
It provides the exact Bohr radius for elliptic condensers, a novel calculation in the context of Faber polynomial bases.
Findings
Exact Bohr radius for elliptic condensers computed.
Enhanced understanding of Faber polynomial bases in complex analysis.
Potential applications in conformal mapping and approximation theory.
Abstract
We compute the exact value of the Bohr radius associated to an elliptic condenser of the complex plane and its Faber polynomial basis.
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Taxonomy
TopicsAdvanced Banach Space Theory · Holomorphic and Operator Theory · Advanced Operator Algebra Research