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Izvestiya: Mathematics, 2012, Volume 76, Issue 6, Pages 1175–1189
DOI: https://doi.org/10.1070/IM2012v076n06ABEH002620 (Mi im7797) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Riesz bases of eigenfunctions of integral operators with kernels discontinuous on the diagonals

V. P. Kurdyumov, A. P. Khromov

Saratov State University named after N. G. Chernyshevsky
English version PDF (299 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM2012v076n06ABEH002620
Abstract: We prove the Riesz basis property in $L_2[0,1]$ for the family of eigenfunctions and adjoint functions of an integral operator whose kernel is discontinuous on the diagonals $t=x$ and $t=1-x$.
Keywords: Riesz basis, resolvent, characteristic number, eigenfunction, involution.
Received: 19.05.2011
Revised: 15.03.2012
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2012, Volume 76, Issue 6, Pages 107–122
DOI: https://doi.org/10.4213/im7797
Bibliographic databases:
Document Type: Article
UDC: 517.984
MSC: 45C05, 47A70, 47G10, 34L10
Language: English
Original paper language: Russian
Citation: V. P. Kurdyumov, A. P. Khromov, “Riesz bases of eigenfunctions of integral operators with kernels discontinuous on the diagonals”, Izv. RAN. Ser. Mat., 76:6 (2012), 107–122; Izv. Math., 76:6 (2012), 1175–1189
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2012v076n06ABEH002620
  • https://www.mathnet.ru/eng/im/v76/i6/p107
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:220
    English version PDF:8
    References:82
    First page:52
     
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