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On the sub-coordinate representation of p-adic functions
Linnaeus University, Faculty of Technology, Department of Mathematics. (International Center for Mathematical Modeling in Physics, Engineering, Economics, and Cognitive Science)ORCID iD: 0000-0003-1919-1495
2018 (English)In: Advances in Ultrametric Analysis / [ed] Alain Escassut, Cristina Perez-Garcia, Khodr Shamseddine, USA: American Mathematical Society (AMS), 2018, Vol. 704, p. 285-290Conference paper, Published paper (Refereed)
Abstract [en]

In this paper we introduce a new way of representation of p-adic functions, namely, the sub-coordinate representation. The main feature of such representation is that the values of a function f are given in the canonical form of representation of p-adic number. In the sub-coordinate representation thefunction f is determined by a set of p-valued functions that map a set {0,1,...,p - 1} into itself, and by the order of these functions. As one of the applications ofthe sub-coordinate representation, we study a problem of generalization of Hensel's lifting lemma.

Place, publisher, year, edition, pages
USA: American Mathematical Society (AMS), 2018. Vol. 704, p. 285-290
Series
Contemporary Mathematics, ISSN 0271-4132, E-ISSN 1098-3627
National Category
Other Mathematics
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-72073DOI: 10.1090/conm/704ISI: 000434495300016ISBN: 978-1-4704-3491-5 (print)ISBN: 978-1-4704-4676-5 (electronic)OAI: oai:DiVA.org:lnu-72073DiVA, id: diva2:1194608
Conference
14th International Conference on p-adic Functional Analysis, held from June 30–July 4, 2016, at the Université d'Auvergne, Aurillac, France
Available from: 2018-04-03 Created: 2018-04-03 Last updated: 2018-07-17Bibliographically approved

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Yurova, Ekaterina

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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard1
  • ieee
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