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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 3, Pages 490–496 (Mi smj1855)  
This article is cited in 2 scientific papers (total in 2 papers)

The spectra and singular values of multidimensional integral operators with bihomogeneous kernels

O. G. Avsyankin

Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences
Full-text PDF (298 kB) Citations (2)
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Abstract: We consider the multidimensional integral operators with bihomogeneous kernel invariant under all rotations. For truncated operators of the type we describe the limit behavior of the set of singular values and in the case when these operators are selfadjoint we describe the limit behavior of their spectra.
Keywords: integral operator, truncated operator, spectrum, singular value, $C^*$-algebra.
Received: 12.03.2007
Revised: 30.11.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 3, Pages 389–394
DOI: https://doi.org/10.1007/s11202-008-0038-4
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: O. G. Avsyankin, “The spectra and singular values of multidimensional integral operators with bihomogeneous kernels”, Sibirsk. Mat. Zh., 49:3 (2008), 490–496; Siberian Math. J., 49:3 (2008), 389–394
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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