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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Factoring the higher dimensional quasiconformal mappings
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by Zhengxu He and Jinsong Liu PDF
Trans. Amer. Math. Soc. 372 (2019), 5341-5353 Request permission

Abstract:

With the aid of the logarithmic spiral mapping, we construct $n(\geq 3)$-dimensional quasiconformal homeomorphisms which admit no minimal factorizations in linear, inner, or outer dilatations.
References
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Additional Information
  • Zhengxu He
  • Affiliation: HLM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
  • Jinsong Liu
  • Affiliation: School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
  • MR Author ID: 692700
  • Email: zhe6666@gmail.com, liujsong@math.ac.cn
  • Received by editor(s): May 30, 2018
  • Received by editor(s) in revised form: August 18, 2018, and August 21, 2018
  • Published electronically: May 23, 2019
  • Additional Notes: The second author was supported by NSF of China (No. 11671057, 11471318, 11688101)
  • © Copyright 2019 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 372 (2019), 5341-5353
  • MSC (2010): Primary 30C65, 32A30
  • DOI: https://doi.org/10.1090/tran/7679
  • MathSciNet review: 4014278