抽样理论中的有界秩一扰动
Bounded Rank-one Perturbations in Sampling Theory
摘要：
采样理论关注的是从函数在某些离散点集的值的知识中重构函数的问题。本文从一类只有重数为1的离散谱的自伴算子的秩为1的有界扰动出发，导出了一个正交抽样理论和相应的Lagrange插值公式.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
