کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4591068 | 1335005 | 2012 | 37 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Beurling–Landau densities of weighted Fekete sets and correlation kernel estimates
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let Q be a suitable real function on C. An n-Fekete set corresponding to Q is a subset {zn1,…,znn} of C which maximizes the expression . It is well known that, under reasonable conditions on Q, there is a compact set S known as the “droplet” such that the measures μn=n−1(δzn1+⋯+δznn) converges to the equilibrium measure as n→∞. In this note we prove that Fekete sets are, in a sense, maximally spread out with respect to the equilibrium measure. In general, our results apply only to a part of the Fekete set, which is at a certain distance away from the boundary of the droplet. However, for the potential Q=|z|2 we obtain results which hold globally, and we conjecture that such global results are true for a wide range of potentials.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 263, Issue 7, 1 October 2012, Pages 1825-1861
Journal: Journal of Functional Analysis - Volume 263, Issue 7, 1 October 2012, Pages 1825-1861