Monotone Jacobi parameters and non-Szego weights

Simple item page
dc.creatorKreimer, Yury
dc.creatorLast, Yoram
dc.creatorSimon, Barry
dc.date2007-11-16
dc.date.accessioned2026-07-07T08:43:36Z
dc.date.available2026-07-07T08:43:36Z
dc.descriptionWe relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the edges. Typical of our results is that for $a_n\equiv 1$, $b_n =-C n^{-β}$ ($0<β< \frac23)$, one has $dμ(x)= w(x) dx$ on $(-2,2)$, and near $x=2$, $w(x)=e^{-2Q(x)}$ where \[ Q(x)=β^{-1} C^{\frac{1}β} \frac{Γ(\frac32)Γ(\frac{1}β}-\frac12)(2-x)^{\frac12 -\frac{1}β}}{Γ(\frac{1}β+1)}(1+O((2-x))) \]
dc.identifierhttps://arxiv.org/abs/0711.2701
dc.identifierhttp://arxiv.org/abs/0711.2701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142367
dc.subjectSpectral Theory
dc.subject33C45; 34L05; 47B15
dc.titleMonotone Jacobi parameters and non-Szego weights
dc.typetext

Files

Collections

arXiv