Discrete and continuous green energy on compact manifolds

被引：18

作者：

Beltran, Carlos ^{[1
]}

Corral, Nuria ^{[1
]}

Criado del Rey, Juan G. ^{[1
]}

机构：

[1] Univ Cantabria, Fac Ciencias, Dpto Matemat Estad & Computac, Avda Castros S-N, E-39005 Santander, Cantabria, Spain

来源：

JOURNAL OF APPROXIMATION THEORY | 2019年 / 237卷

关键词：

Green energy; Well-distributed points; Harmonic manifold; FINITE POINT-SETS; RIESZ ENERGY; DISTRIBUTING POINTS; LOGARITHMIC ENERGY; HECKE OPERATORS; SPHERE; ASYMPTOTICS; DISCREPANCY; DISTANCES; TERM;

D O I：

10.1016/j.jat.2018.09.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we study the role of the Green function for the Laplacian in a compact Riemannian manifold as a tool for obtaining well-distributed points. In particular, we prove that a sequence of minimizers for the Green energy is asymptotically uniformly distributed. We pay special attention to the case of locally harmonic manifolds. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：160 / 185

页数：26

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