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Matematicheskie Zametki, 1998, Volume 63, Issue 1, Pages 69–80
DOI: https://doi.org/10.4213/mzm1249 (Mi mzm1249) 		 
This article is cited in 27 scientific papers (total in 27 papers)

On the total variation for functions of several variables and a multidimensional analog of Helly's selection principle

A. S. Leonov

Moscow Engineering Physics Institute (State University)
Full-text PDF (229 kB) Citations (27)
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DOI: https://doi.org/10.4213/mzm1249
Abstract: We introduce the new notion of total variation for the Hardy class of functions of several variables and state various properties, similar to those in the one-dimensional case, for functions belonging to this class. In particular, we prove a precise version of Helly's selection principle for this class.
Received: 22.04.1996
English version:
Mathematical Notes, 1998, Volume 63, Issue 1, Pages 61–71
DOI: https://doi.org/10.1007/BF02316144
Bibliographic databases:
UDC: 517.397
Language: Russian
Citation: A. S. Leonov, “On the total variation for functions of several variables and a multidimensional analog of Helly's selection principle”, Mat. Zametki, 63:1 (1998), 69–80; Math. Notes, 63:1 (1998), 61–71
Citation in format AMSBIB
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\pages 69--80
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\jour Math. Notes
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\pages 61--71
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    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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