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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Mean-square approximation by polynomials on the unit disk
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by Thomas L. Kriete and Barbara D. MacCluer PDF
Trans. Amer. Math. Soc. 322 (1990), 1-34 Request permission

Abstract:

We investigate ${P^2}(\mu )$, the closure in ${L^2}(\mu )$ of the complex polynomials, for certain measures $\mu$ on the closed unit disk in the complex plane. Specifically, we present a condition on $\mu$ which guarantees that ${P^2}(\mu )$ decomposes into a natural direct sum.
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 322 (1990), 1-34
  • MSC: Primary 30E10; Secondary 30D50, 46E20
  • DOI: https://doi.org/10.1090/S0002-9947-1990-0948193-X
  • MathSciNet review: 948193