Zeros of orthogonal polynomials on the real line
| dc.creator | Denisov, Sergey A. | |
| dc.creator | Simon, Barry | |
| dc.date | 2002-09-24 | |
| dc.date.accessioned | 2026-07-07T04:51:12Z | |
| dc.date.available | 2026-07-07T04:51:12Z | |
| dc.description | Let $p_n(x)$ be orthogonal polynomials associated to a measure $dμ$ of compact support in $R$. If $E\not\in supp(dμ)$, we show there is a $δ>0$ so that for all $n$, either $p_n$ or $p_{n+1}$ has no zeros in $(E-δ, E+δ)$. If $E$ is an isolated point of $supp(dμ)$, we show there is a $δ$ so that for all $n$, either $p_n$ or $p_{n+1}$ has at most one zero in $(E-δ, E+δ)$. We provide an example where the zeros of $p_n$ are dense in a gap of $supp(dμ)$. | |
| dc.description | (preliminary version) | |
| dc.identifier | https://arxiv.org/abs/math/0209329 | |
| dc.identifier | http://arxiv.org/abs/math/0209329 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65064 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 42C05, 47B36 | |
| dc.title | Zeros of orthogonal polynomials on the real line | |
| dc.type | text |