Asymptotics for Christoffel Functions with Varying Weights

Asymptotics for Christoffel Functions with Varying Weights
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DOI:
10.1006/aama.2000.0698
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发表时间:
2000-11
期刊:
Adv. Appl. Math.
影响因子:
--
通讯作者:
V. Totik
V. Totik
中科院分区:
其他
文献类型:
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作者:
V. Totik

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证明了Christoffel函数在l“n(w^2^n,.)关于不同的权重w^2 ^n。这个结果在量子系统的物理力学模型的理论中有一个解释,并且它足够强,可以产生在几个区间上定义的权重的克里斯托弗函数的渐近性。
We prove sharp asymptotics for Christoffel functions @l"n(w^2^n,.) with respect to varying weights w^2^n. The result has an interpretation in the theory of statistical-mechanical models of quantum systems, and it is sufficiently strong to yield asymptotics for Christoffel functions for weights defined on several intervals.