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

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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.

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Authors and Affiliations

  1. Southern Federal University, Rostov-on-Don, Russia

    O. G. Avsyankin

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  1. O. G. Avsyankin
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Correspondence to O. G. Avsyankin.

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Original Russian Text Copyright © 2008 Avsyankin O. G.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 3, pp. 483–489, May–June, 2008.

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Avsyankin, O.G. The spectra and singular values of multidimensional integral operators with bihomogeneous kernels. Sib Math J 49, 389–394 (2008). https://doi.org/10.1007/s11202-008-0038-4

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  • DOI: https://doi.org/10.1007/s11202-008-0038-4

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