The Szego Condition for Coulomb Jacobi Matrices
| dc.creator | Zlatos, Andrej | |
| dc.date | 2002-10-30 | |
| dc.date.accessioned | 2026-07-07T04:29:32Z | |
| dc.date.available | 2026-07-07T04:29:32Z | |
| dc.description | A Jacobi matrix with $a_n\to 1$, $b_n\to 0$ and spectral measure $ν'(x)dx + dν_{sing}(x)$ satisfies the Szeg\H o condition if $\int_{0}^π\ln \bigl[ ν'(2\cosθ) \bigr] dθ$ is finite. We prove that if $a_n = 1 + \frac α{n} + O(n^{-1-\eps})$ and $b_n = \frac β{n} + O(n^{-1-\eps})$ with $2α\ge |β|$ and $\eps>0$, then the corresponding matrix is Szeg\H o. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0210053 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0210053 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57191 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 42C05 (Primary) 47B36 (Secondary) | |
| dc.title | The Szego Condition for Coulomb Jacobi Matrices | |
| dc.type | text |