On the Pseudospectra of Multidimensional Integral Operators with Homogeneous Kernels of Degree <MATH>-n</MATH>.

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 ℇ-pseudospectra of the truncated operators K_τ as τ→0 is equal to the union of the ℇ-pseudospectra of the original operator K and the “transposed” operator <MATH>\tilde {K}.</MATH> [ABSTRACT FROM AUTHOR]