Zeros of OPUC and Long Time Asymptotics of Schur and Related Flows
| dc.creator | Simon, Barry | |
| dc.date | 2006-10-31 | |
| dc.date.accessioned | 2026-07-07T07:29:41Z | |
| dc.date.available | 2026-07-07T07:29:41Z | |
| dc.description | We provide a complete analysis of the asymptotics for the semi-infinite Schur flow: $α_j(t)=(1- |α_j(t)|^2) (α_{j+1}(t)-α_{j-1}(t))$ for $α_{-1}(t)= 1$ boundary conditions and $n=0,1,2,...$, with initial condition $α_j(0)\in (-1,1)$. We also provide examples with $α_j(0)\in\mathbb{D}$ for which $α_0(t)$ does not have a limit. The proofs depend on the solution via a direct/inverse spectral transform. | |
| dc.identifier | https://arxiv.org/abs/math/0610987 | |
| dc.identifier | http://arxiv.org/abs/math/0610987 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118208 | |
| dc.subject | Spectral Theory | |
| dc.subject | 05E25; 37K10; 39A11 | |
| dc.title | Zeros of OPUC and Long Time Asymptotics of Schur and Related Flows | |
| dc.type | text |