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Sbornik: Mathematics, 2006, Volume 197, Issue 11, Pages 1669–1696
DOI: https://doi.org/10.1070/SM2006v197n11ABEH003817 (Mi sm1534) 		 
This article is cited in 26 scientific papers (total in 26 papers)

Integral operators with kernels that are discontinuous on broken lines

A. P. Khromov

Saratov State University named after N. G. Chernyshevsky
English version PDF (361 kB) Citations (26)
References:
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DOI: https://doi.org/10.1070/SM2006v197n11ABEH003817
Abstract: In this paper we study the equiconvergence of expansions in trigonometric Fourier series and in eigenfunctions and associated functions of an integral operator whose kernel has discontinuities of the first kind on broken lines formed from the sides and diagonals of the squares obtained by dividing the unit square into $n^2$ equal squares.
Bibliography: 11 titles.
Received: 20.02.2006
Russian version:
Matematicheskii Sbornik, 2006, Volume 197, Number 11, Pages 115–142
DOI: https://doi.org/10.4213/sm1534
Bibliographic databases:
UDC: 517.984
MSC: Primary 47G10; Secondary 42A24, 45P05, 47A10, 47A70
Language: English
Original paper language: Russian
Citation: A. P. Khromov, “Integral operators with kernels that are discontinuous on broken lines”, Mat. Sb., 197:11 (2006), 115–142; Sb. Math., 197:11 (2006), 1669–1696
Citation in format AMSBIB
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\by A.~P.~Khromov
\paper Integral operators with kernels that are discontinuous on
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  • https://doi.org/10.1070/SM2006v197n11ABEH003817
  • https://www.mathnet.ru/eng/sm/v197/i11/p115
    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:963
    Russian version PDF:412
    English version PDF:21
    References:81
    First page:5
     
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