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Izvestiya: Mathematics, 2005, Volume 69, Issue 4, Pages 703–717
DOI: https://doi.org/10.1070/IM2005v069n04ABEH001655 (Mi im647) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Absolute convergence of expansions in eigen- and adjoint functions of an integral operator with a variable limit of integration

V. V. Kornev, A. P. Khromov
English version PDF (186 kB) Citations (8)
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DOI: https://doi.org/10.1070/IM2005v069n04ABEH001655
Abstract: We establish an analogue of Zygmund's criterion for the absolute convergence of trigonometric Fourier series for expansions in eigen- and adjoint functions of the integral operator $Af(x)=\int_0^{1-x}A(1-x,t)f(t)\,dt$.
Received: 05.03.2004
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2005, Volume 69, Issue 4, Pages 59–74
DOI: https://doi.org/10.4213/im647
Bibliographic databases:
UDC: 517.968
MSC: 47G10, 45P05, 42A20
Language: English
Original paper language: Russian
Citation: V. V. Kornev, A. P. Khromov, “Absolute convergence of expansions in eigen- and adjoint functions of an integral operator with a variable limit of integration”, Izv. RAN. Ser. Mat., 69:4 (2005), 59–74; Izv. Math., 69:4 (2005), 703–717
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2005v069n04ABEH001655
  • https://www.mathnet.ru/eng/im/v69/i4/p59
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:550
    Russian version PDF:241
    English version PDF:8
    References:66
    First page:2
     
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