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Sbornik: Mathematics, 2000, Volume 191, Issue 12, Pages 1873–1889
DOI: https://doi.org/10.1070/sm2000v191n12ABEH000531 (Mi sm531) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Theorems on representation of functions by series

K. S. Kazariana, D. Watermanb

a Universidad Autonoma de Madrid
b Syracuse University
English version PDF (189 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/sm2000v191n12ABEH000531
Abstract: It is shown that if a system $\Phi$ of functions is such that each measurable function that is finite almost everywhere can be represented by a $\Phi$-series convergent in measure, then the same is true for measurable functions that can be equal to plus infinity or minus infinity on sets of positive measure.
Received: 24.02.2000
Bibliographic databases:
UDC: 517.51
MSC: 42C15, 40A30
Language: English
Original paper language: Russian
Citation: K. S. Kazarian, D. Waterman, “Theorems on representation of functions by series”, Sb. Math., 191:12 (2000), 1873–1889
Citation in format AMSBIB
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\by K.~S.~Kazarian, D.~Waterman
\paper Theorems on representation of functions by series
\jour Sb. Math.
\yr 2000
\vol 191
\issue 12
\pages 1873--1889
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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