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内函数限制的双混合与拟混合

Dual mixing and quasi-mixing of inner function restrictions

Jon Aaronson

arXiv 2609.00217首次发表:更新:

发表机构

School of Math. Sciences, Tel Aviv University(特拉维夫大学理学院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究探讨保测变换的双拟混合与双混合性质,指出上半平面归一化抛物内函数的实限制为双混合当且仅当它是正合,还提及存在“奇异”双拟混合的其他限制情形。

AI 中文摘要

保测变换的双拟混合与双混合是转移算子的一致个体比率极限性质,分别蕴含Krickeberg的拟混合与混合性质。上半平面归一化抛物内函数的实限制保持勒贝格测度,且当且仅当该限制是正合时为双混合;某些其他限制是“奇异”双拟混合。

英文摘要

Dual quasi-mixing and dual mixing of a measure preserving transformation are uniform individual ratio limit properties of the transfer operator which entail the quasi-mixing and mixing properties of Krickeberg (respectively). The real restrictions of normalised, parabolic, non-Möbius inner functions of the upper half plane preserve Lebesgue measure and are dual quasi mixing; such a restriction being dual mixing iff it is exact and singular dual quasi-mixing otherwise.

CommentsMain theorem upgraded. 11 pages

论文原文

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