Geodesic
Approximation on Boundary Sets
Canadian mathematical bulletin, Tome 22 (1979) no. 3, pp. 377-379

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Let U be a bounded open subset of the complex plane. By a well known result of A. M. Davie, C(bU) is the uniformly-closed linear span of A(U) and the powers (z-zi )-n , n = 1, 2, 3, ... with zi a point in each component of U. We show that if A(U) is a Dirichlet algebra and bU is of infinite length, then one power of (z - zi ) is superfluous. 
Wang, James Li-Ming. Approximation on Boundary Sets. Canadian mathematical bulletin, Tome 22 (1979) no. 3, pp. 377-379. doi: 10.4153/CMB-1979-049-1
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     title = {Approximation on {Boundary} {Sets}},
     journal = {Canadian mathematical bulletin},
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     year = {1979},
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     number = {3},
     doi = {10.4153/CMB-1979-049-1},
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