Mean-square approximation by polynomials on the unit disk

@article{Kriete1990MeansquareAB,
  title={Mean-square approximation by polynomials on the unit disk},
  author={Thomas L. Kriete and Barbara D. Maccluer},
  journal={Transactions of the American Mathematical Society},
  year={1990},
  volume={322},
  pages={1-34}
}
We investigate P 2(j), the closure in L2(i) of the complex polynomials, for certain measures i on the closed unit disk in the complex plane. Specifically, we present a condition on j which guarantees that P2(j) decomposes into a natural direct sum. 
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