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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 227, Pages 89–92 (Mi znsl4268)  
On convergence of formal sums of series over two-dimensional complete fields

A. I. Madunts

Saint-Petersburg State University
Full-text PDF (186 kB)
Abstract: Series over two-dimensional complete fields are studied; sufficient conditions for convergence of a series at all points of the maximal ideal and sufficient conditions for convergence of formal sums and infinite superpositions of formal sums of series are obtained. Bibliography: 5 titles.
Received: 14.04.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 89, Issue 2, Pages 1138–1140
DOI: https://doi.org/10.1007/BF02355862
Bibliographic databases:
Document Type: Article
UDC: 512.625
Language: Russian
Citation: A. I. Madunts, “On convergence of formal sums of series over two-dimensional complete fields”, Problems in the theory of representations of algebras and groups. Part 4, Zap. Nauchn. Sem. POMI, 227, POMI, St. Petersburg, 1995, 89–92; J. Math. Sci. (New York), 89:2 (1998), 1138–1140
Citation in format AMSBIB
\Bibitem{Mad95}
\by A.~I.~Madunts
\paper On convergence of formal sums of series over two-dimensional complete fields
\inbook Problems in the theory of representations of algebras and groups. Part~4
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 227
\pages 89--92
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4268}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1374562}
\zmath{https://zbmath.org/?q=an:1156.12301}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 89
\issue 2
\pages 1138--1140
\crossref{https://doi.org/10.1007/BF02355862}
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