Sum rules and spectral measures of Schrodinger operators with L2 potentials

• 成果类型: Article
• 署名作者: Killip, Rowan; Simon, Barry
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2009.170.739
• 发表日期: 2009
• 页码: 739-782
• 关键词: absolutely continuous-spectrum; Orthogonal polynomials; jacobi matrices

摘要

Necessary and sufficient conditions are presented for a positive measure to be the spectral measure of a half-line Schrodinger operator with square integrable potential.