We observe that any set of uniqueness for the Dirichlet space $\cD$ is a set of uniqueness for the class $S$ of normalized univalent holomorphic functions.

MSC Classifications:

30C55, 30C15 show english descriptions General theory of univalent and multivalent functions
Zeros of polynomials, rational functions, and other analytic functions (e.g. zeros of functions with bounded Dirichlet integral) {For algebraic theory, see 12D10; for real methods, see 26C10} 30C55 - General theory of univalent and multivalent functions
30C15 - Zeros of polynomials, rational functions, and other analytic functions (e.g. zeros of functions with bounded Dirichlet integral) {For algebraic theory, see 12D10; for real methods, see 26C10}

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