期刊论文

Kovalev, Leonid, V

英文

Journal of Mathematical Analysis and Applications

0022-247X

2020

488

2

124083

10.1016/j.jmaa.2020.124083

The work of Leonid Kovalev was supported by the National Science Foundation grant DMS-1764266 . The work of Liulan Li was partly supported by the Science and Technology Plan Project of Hunan Province (No. 2016TP1020 ), and the Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469 ). The work of Leonid Kovalev was supported by the National Science Foundation grant DMS-1764266. The work of Liulan Li was partly supported by the Science and Technology Plan Project of Hunan Province (No. 2016TP1020), and the Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469). The authors thank the anonymous referee for several suggestions which improved the organization of this article.

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This paper continues the investigation of the relation between the geometry of a circle embedding and the values of its Fourier coefficients. First, we answer a question of Kovalev and Yang concerning the support of the Fourier transform of a starlike embedding. An important special case of circle embeddings are homeomorphisms of the circle onto itself. Under a one-sided bound on the Fourier support, such homeomorphisms are rational functions related to Blaschke products. We study the structure of rational circle homeomorphisms and show that th...