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arXiv 0705.2512math-phmath.MP
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算子沿区间交换变换的Cantor奇异连续谱

Cantor Singular Continuous Spectrum for Operators Along Interval Exchange Transformations

M. Cobo, C. Gutierrez, C. R. de Oliveira

摘要:

证明了几乎在每个区间交换变换上都具有沿着Lebesgue位移嵌入的势的Schroedinger算子,具有零测度的Cantor谱,且对区间上几乎所有的Lebesgue点都是纯奇异连续的.

英文摘要:

It is shown that Schroedinger operators, with potentials along the shift embedding of Lebesgue almost every interval exchange transformations, have Cantor spectrum of measure zero and pure singular continuous for Lebesgue almost all points of the interval.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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