Multidimensional integral operators with bihomogeneous kernels: A projection method and pseudospectra |
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| Authors: | O G Avsyankin |
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| Institution: | (1) Rostov State University, Rostov-on-Don, Russia |
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| Abstract: | We consider multidimensional integral operators with bihomogeneous and rotation invariant kernels. For such operators we obtain a criterion for applicability of a projection method in the scalar and matrix cases and describe the limit behavior of the ε-pseudospectra of the truncated operators $A_{\tau _1 , \tau _2 } $ as τ 1 → 0 and τ 2 → 0. |
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| Keywords: | integral operator truncated operator projection method spectrum pseudospectrum C*-algebra |
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