论文标题
重新访问基督 - 基斯列夫的多线性操作员技术及其对Schrödinger运营商的应用
Revisiting the Christ-Kiselev's multi-linear operator technique and its applications to Schrödinger operators
论文作者
论文摘要
我们建立了基督 - 基斯列夫多线性操作员技术的广义版本，以处理Schrödinger操作员的光谱理论。作为应用，获得了扰动的周期性施罗丁运营商的几个光谱结果，包括WKB溶液，保存绝对连续光谱的急剧过渡，缺乏奇异光谱的标准以及奇异光谱的尖锐界限。
We established a generalized version of the Christ-Kiselev's multi-linear operator technique to deal with the spectral theory of Schrödinger operators. As applications, several spectral results of perturbed periodic Schrödinger operators are obtained, including WKB solutions, sharp transitions of preservation of absolutely continuous spectra, criteria of absence of singular spectra and sharp bounds of the Hausdorff dimension of singular spectra.
