Estimates for periodic Zakharov-Shabat operators
| dc.creator | Korotyaev, Evgeny | |
| dc.creator | Kargaev, Pavel | |
| dc.date | 2008-03-14 | |
| dc.date.accessioned | 2026-07-07T09:26:54Z | |
| dc.date.available | 2026-07-07T09:26:54Z | |
| dc.description | We consider the periodic Zakharov-Shabat operators on the real line. The spectrum of this operator consists of intervals separated by gaps with the lengths $|g_n|\ge 0, n\in \Z$. Let $\m_n^\pm$ be the corresponding effective masses and let $h_n$ be heights of the corresponding slits in the quasimomentum domain. We obtain a priori estimates of sequences $g=(|g_n|)_{n\in \Z},\m^\pm=(\m_n^\pm)_{n\in \Z}, h=(h_n)_{n\in \Z}$ in terms of weighted $\ell^p-$norms at $p\ge 1$. The proof is based on the analysis of the quasimomentum as the conformal mapping. | |
| dc.identifier | https://arxiv.org/abs/0803.2200 | |
| dc.identifier | http://arxiv.org/abs/0803.2200 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156915 | |
| dc.subject | Spectral Theory | |
| dc.subject | Complex Variables | |
| dc.subject | 34L40 (34A55 47E05) | |
| dc.title | Estimates for periodic Zakharov-Shabat operators | |
| dc.type | text |