中文

论测度扰动下多项式的稠密性

数学物理 2015-06-30 v2 math.MP

摘要

本文给出一个错误的证明:若多项式在L2(R,ρ)L_2(\mathbb{R}, \rho)中稠密,则它们在L2(R,ρ+μ)L_2(\mathbb{R}, \rho+\mu)中也稠密,其中μ\mu是支撑于有限点集上的测度。

关键词

引用

@article{arxiv.1506.07162,
  title  = {On the density of polynomials under perturbations of the measure},
  author = {Rafael del Rio and Luis O. Silva},
  journal= {arXiv preprint arXiv:1506.07162},
  year   = {2015}
}

备注

This paper has been withdrawn by the author. The proof of Lemma 3.2 contains a crucial error and, therefore, the main result of the paper does not hold