Abstract
This article is an extended version of a lecture presented to a conference at Brown University on 11 June 2017 in celebration of John Wermer's 90th birthday. Here, we discuss a complete solution to the weighted approximation problem for polynomials on an arbitrary bounded simply connected domain Ω in the complex plane. The problem had been studied extensively by Keldysh [13] prior to 1941 in the context of weighted L 2 -approximation, and more recently by Beurling [5], where the emphasis is on uniform approximation.
| Original language | English |
|---|---|
| Pages (from-to) | 1-13 |
| Number of pages | 13 |
| Journal | St. Petersburg Mathematical Journal |
| Volume | 30 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2019 |
Bibliographical note
Publisher Copyright:© 2018 American Mathematical Society.
Keywords
- Asymptotically holomorphic functions
- Harmonic measure
- Quasi-analyticity
- Weighted polynomial approximation
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Applied Mathematics
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