Factorisation of Non-negative Fredholm Operators and Inverse Spectral Problems for Bessel Operators

被引：0

作者：

S. Albeverio

R. Hryniv

Ya Mykytyuk

机构：

[1] Universität Bonn,Institut für Angewandte Mathematik

[2] BiBoS,undefined

[3] CERFIM,undefined

[4] Accademia di Architettura,undefined

[5] Institute for Applied Problems of Mechanics and Mathematics,undefined

[6] Lviv National University,undefined

来源：

Integral Equations and Operator Theory | 2009年 / 64卷

关键词：

Primary 47A68; Secondary 34A55, 34B24, 34B30, 47E05; Factorisation in operator algebras; non-negative operators; Bessel operators; inverse problems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the problem of factorisation of non-negative Fredholm operators acting in the Hilbert space L2(0, 1) and its relation to the inverse spectral problem for Bessel operators. In particular, we derive an algorithm of reconstructing the singular potential of the Bessel operator from its spectrum and the sequence of norming constants.

引用

页码：301 / 323

页数：22