代数可积体及Radon变换的相关性质
Algebraically integrable bodies and related properties of the Radon transform
摘要:
推广引理28从牛顿的“原理”,阿诺德要求一个完整的表征代数可积域。在本文中,我们描述了阿诺德的问题的现状。我们还考虑密切相关的问题的Radon变换的指示函数。
英文摘要:
Generalizing Lemma 28 from Newton's ``Principia", Arnold asked for a complete characterization of algebraically integrable domains. In this paper we describe the current state of Arnold's problems. We also consider closely related problems about the Radon transform of indicator functions.
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。