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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 492, Pages 125–133 (Mi znsl6950)  
This article is cited in 2 scientific papers (total in 2 papers)

Convergence sets of multidimensional local fields

A. I. Madunts

Saint Petersburg State University
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Abstract: We study subsets of multidimensional local fields that have the property that any power series with coefficients from this subset converges when substituting an element of the maximum ideal for a variable.
Key words and phrases: multidimensional local fields, topology, convergence of power series.
Received: 20.04.2020
Document Type: Article
UDC: 512.625
Language: Russian
Citation: A. I. Madunts, “Convergence sets of multidimensional local fields”, Problems in the theory of representations of algebras and groups. Part 35, Zap. Nauchn. Sem. POMI, 492, POMI, St. Petersburg, 2020, 125–133
Citation in format AMSBIB
\Bibitem{Mad20}
\by A.~I.~Madunts
\paper Convergence sets of multidimensional local fields
\inbook Problems in the theory of representations of algebras and groups. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 492
\pages 125--133
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6950}
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  • https://www.mathnet.ru/eng/znsl6950
  • https://www.mathnet.ru/eng/znsl/v492/p125
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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