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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 3, Pages 490–496
(Mi smj1855)
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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
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
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
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https://www.mathnet.ru/eng/smj1855 https://www.mathnet.ru/eng/smj/v49/i3/p490
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Abstract page: | 330 | Full-text PDF : | 95 | References: | 56 | First page: | 3 |
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