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Matematicheskie Zametki, 2016, Volume 100, Issue 1, Pages 144–154
DOI: https://doi.org/10.4213/mzm11129 (Mi mzm11129) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Quantum Calculus and Quasiconformal Mappings

A. G. Sergeev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (480 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm11129
Abstract: The quantum interpretation of quasisymmetric homeomorphisms of the circle, i.e., homeomorphisms that can be extended to quasiconformal homeomorphisms of the unit disk, and their relationship to basic constructions of quantum calculus are discussed.
Keywords: quasisymmetric homeomorphism, Sobolev space of half-differentiable functions, Connes quantization.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation under grant 14-50-00005.
Received: 02.09.2015
English version:
Mathematical Notes, 2016, Volume 100, Issue 1, Pages 123–131
DOI: https://doi.org/10.1134/S0001434616070117
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. G. Sergeev, “Quantum Calculus and Quasiconformal Mappings”, Mat. Zametki, 100:1 (2016), 144–154; Math. Notes, 100:1 (2016), 123–131
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
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