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Matematicheskie Zametki, 2004, Volume 76, Issue 1, Pages 97–110
DOI: https://doi.org/10.4213/mzm92 (Mi mzm92) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Riesz Bases of Eigenfunctions of an Integral Operator with a Variable Limit of Integration

V. P. Kurdyumov, A. P. Khromov

Saratov State University named after N. G. Chernyshevsky
Full-text PDF (229 kB) Citations (18)
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DOI: https://doi.org/10.4213/mzm92
Abstract: We prove a theorem on the Riesz basis property in the space $L_2[0,1]$ of the eigenfunctions and associated functions of an integral operator whose kernel possesses a derivative discontinuous on the line $t=1-x$.
Received: 25.11.2002
Revised: 03.11.2003
English version:
Mathematical Notes, 2004, Volume 76, Issue 1, Pages 90–102
DOI: https://doi.org/10.1023/B:MATN.0000036745.53704.08
Bibliographic databases:
UDC: 517.984
Language: Russian
Citation: V. P. Kurdyumov, A. P. Khromov, “Riesz Bases of Eigenfunctions of an Integral Operator with a Variable Limit of Integration”, Mat. Zametki, 76:1 (2004), 97–110; Math. Notes, 76:1 (2004), 90–102
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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