Bounded Rank-one Perturbations in Sampling Theory
经典分析与常微分方程
2015-06-26 v2 谱理论
摘要
Sampling theory concerns the problem of reconstruction of functions from the knowledge of their values at some discrete set of points. In this paper we derive an orthogonal sampling theory and associated Lagrange interpolation formulae from a family of bounded rank-one perturbations of a self-adjoint operator that has only discrete spectrum of multiplicity one.
引用
@article{arxiv.math/0701492,
title = {Bounded Rank-one Perturbations in Sampling Theory},
author = {Luis O. Silva and Julio H. Toloza},
journal= {arXiv preprint arXiv:math/0701492},
year = {2015}
}
备注
13 pages; v2: minor corrections on grammar and spelling, some of the statements are now more accurate