Manifolds of support sets of Chebyshev polynomials

被引：0

作者：

Bogatyrev, AB ^{[1
]}

机构：

[1] Russian Acad Sci, Moscow Inst Phys & Engn, Inst Computat Math, Moscow 117901, Russia

来源：

MATHEMATICAL NOTES | 2000年 / 67卷 / 5-6期

关键词：

best approximation; Chebyshev polynomial; homeomorphism; Riemann surface; Abelian differential of the third kind; moduli space; hyperelliptic curve;

D O I：

10.1007/BF02675623

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a parameterization of the set of polynomials T-n(E, x) whose deviation from zero is the least on a system E consisting of several intervals on the real axis. We point out a new way for obtaining the equations which describe the boundary of the maximum set of the least deviation E+ superset of E. We describe the geometry of the variety of all possible sets E+; this manifold is embedded in the moduli space of hyperelliptic curves with real branch points.

引用

页码：699 / 706

页数：8

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[No title captured]

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