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Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, 2008, Volume 150, Book 1, Pages 56–64 (Mi uzku638)  
This article is cited in 3 scientific papers (total in 3 papers)

Metric Characteristics of Non-Rectifiable Arcs and the Jump Problem

B. A. Kats

Kazan State University of Architecture and Engineering
Full-text PDF (212 kB) Citations (3)
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Abstract: The paper is dealing with the boundary value problem on reconstruction of holomorphic function with known jump on a given non-rectifiable arc. There are introduced new metric characteristics of dimensional type for the non-rectifiable arcs. The main result of the paper is new condition for solvability of the jump problem in terms of the mentioned characteristics. It improves the known conditions of that kind.
Keywords: holomorphic function, the jump problem, non-rectifiable arc, fractional dimension.
Received: 03.08.2007
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: B. A. Kats, “Metric Characteristics of Non-Rectifiable Arcs and the Jump Problem”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 150, no. 1, Kazan University, Kazan, 2008, 56–64
Citation in format AMSBIB
\Bibitem{Kat08}
\by B.~A.~Kats
\paper Metric Characteristics of Non-Rectifiable Arcs and the Jump Problem
\serial Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki
\yr 2008
\vol 150
\issue 1
\pages 56--64
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku638}
\zmath{https://zbmath.org/?q=an:1187.30036}
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  • https://www.mathnet.ru/eng/uzku/v150/i1/p56
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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