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On the Pseudospectra of Multidimensional Integral Operators with Homogeneous Kernels of Degree -n

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Abstract

We study the limit behavior of the spectral characteristics of truncated multidimensional integral operators whose kernels are homogeneous of degree −n and invariant under the rotation group SO(n). We prove that the limit of the ε-pseudospectra of the truncated operators K τ as τ→0 is equal to the union of the ε-pseudospectra of the original operator K and the “transposed” operator \(\tilde K\).

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Authors
  1. O. G. Avsyankin
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  2. N. K. Karapetyants
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Avsyankin, O.G., Karapetyants, N.K. On the Pseudospectra of Multidimensional Integral Operators with Homogeneous Kernels of Degree -n . Siberian Mathematical Journal 44, 935–950 (2003). https://doi.org/10.1023/B:SIMJ.0000007469.86630.6b

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  • DOI: https://doi.org/10.1023/B:SIMJ.0000007469.86630.6b

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