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Sbornik: Mathematics, 2015, Volume 206, Issue 9, Pages 1299–1339
DOI: https://doi.org/10.1070/SM2015v206n09ABEH004497 (Mi sm8446) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Distribution of the zeros of canonical products and weighted condensation index

V. B. Sherstyukov

National Engineering Physics Institute "MEPhI", Moscow
English version PDF (716 kB) Citations (6)
References:
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DOI: https://doi.org/10.1070/SM2015v206n09ABEH004497
Abstract: Canonical products with symmetrically positioned real zeros are considered. The question of the measurability of the sequence of zeros in terms of the weighted condensation index is treated. A natural class of weight functions, for which a finite condensation index ensures that the sequence of zeros is measurable, is distinguished. The main condition characterizing this class is shown to be sharp.
Bibliography: 31 titles.
Keywords: canonical product, measurable sequence of zeros, condensation index.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00281
This research was carried out with the support of the Russian Foundation for Basic Research (grant no. 13-01-00281).
Received: 11.11.2014 and 19.01.2015
Russian version:
Matematicheskii Sbornik, 2015, Volume 206, Number 9, Pages 139–180
DOI: https://doi.org/10.4213/sm8446
Bibliographic databases:
Document Type: Article
UDC: 517.547.2
MSC: Primary 30D15; Secondary 26A12
Language: English
Original paper language: Russian
Citation: V. B. Sherstyukov, “Distribution of the zeros of canonical products and weighted condensation index”, Mat. Sb., 206:9 (2015), 139–180; Sb. Math., 206:9 (2015), 1299–1339
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v206/i9/p139
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:595
    Russian version PDF:170
    English version PDF:6
    References:241
    First page:82
     
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