发表机构
University of California, Berkeley（加州大学伯克利分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过预解分解证明亚临界第一类能量满足间隙标号条件时为开放谱间隙端点，证实了相关猜想。
AI 中文摘要
我们通过具有指数非对角衰减的核，建立了与有限范围对偶算子相关的双曲投影的预解分解。作为应用，我们证明：对于每个无理频率和每个解析势，满足间隙标号条件的每个亚临界第一类能量都是一个开放谱间隙的端点。这证实了Ge--Jitomirskaya--You [GJY,You]在亚临界区域的猜想。
英文摘要
We establish a resolvent factorization of the hyperbolic projection associated with the finite-range dual operators, by a kernel with exponential off-diagonal decay. As an application, we prove that, for every irrational frequency and every analytic potential, each subcritical Type I energy satisfying the gap-labelling condition is an endpoint of an open spectral gap. This confirms the conjecture of Ge--Jitomirskaya--You [GJY,You] in the subcritical regime.
Comments11 pages; Funding information updated
