✦ LIBER ✦

Uniqueness Results for Matrix-Valued Schrödinger, Jacobi, and Dirac-Type Operators

✍ Scribed by Fritz Gesztesy; Alexander Kiselev; Konstantin A. Makarov

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 460 KB
Volume: 239-240
Category: Article
ISSN: 0025-584X
DOI: 10.1002/1522-2616(200206)239:1<103::aid-mana103>3.0.co;2-f

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Gradient Estimates and a Liouville Type

Gradient Estimates and a Liouville Type Theorem for the Schrödinger Operator

✍ E.R. Negrin 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 164 KB

In this paper, we derive a Liouville type theorem on a complete Riemannian manifold without boundary and with nonnegative Ricci curvature for the equation \(\Delta u(x)+h(x) u(x)=0\), where the conditions \(\lim _{r \rightarrow x} r^{-1} \cdot \sup _{x \in B_{p}(r)}|\nabla h(x)|=0\) and \(h \geqslan

Trace formulas and a Borg-type theorem f

Trace formulas and a Borg-type theorem for CMV operators with matrix-valued coefficients

✍ Maxim Zinchenko 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 208 KB

## Abstract We prove a general Borg‐type inverse spectral result for a reflectionless unitary CMV operator (CMV for Cantero, Moral, and Velázquez [13]) associated with matrix‐valued Verblunsky coefficients. More precisely, we find an explicit formula for the Verblunsky coefficients of a reflectionl