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arXiv 2407.11565math.CA
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关于由线性分数变换驱动的共轭方程奇异性定量化估计

Quantitative estimates for singularity for conjugate equations driven by linear fractional transformations

Department of Mathematics, Faculty of Science, Shizuoka University(静冈大学理学部数学系)

Kazuki Okamura

AI总结:

本文研究由满足兼容条件的有限映射族驱动的共轭方程奇异性,提出在非仿射映射与线性分数变换驱动情况下解奇异性定量化条件。

摘要:

我们考虑由满足兼容条件的单位区间上两个有限映射族驱动的共轭方程。该框架包含de Rham的功能方程。我们给出了在方程由非仿射映射族和线性分数变换族驱动的情况下,解奇异性充分条件的定量估计。

英文摘要:

We consider the conjugate equation driven by two families of finite maps on the unit interval satisfying a compatibility condition. This framework contains de Rham's functional equations. We give sufficient conditions for singularity of the solution with quantitative estimates in the case where the equation is driven by a family of non-affine maps and a family of linear fractional transformations.

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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