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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 3, Pages 501–513 (Mi smj872)  
This article is cited in 4 scientific papers (total in 4 papers)

Multidimensional integral operators with bihomogeneous kernels: A projection method and pseudospectra

O. G. Avsyankin

Rostov State University
Full-text PDF (237 kB) Citations (4)
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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 $\varepsilon$-pseudospectra of the truncated operators $A_{\tau_1,\tau_2}$ as $\tau_1\to0$, $\tau_2\to0$.
Keywords: integral operator, truncated operator, projection method, spectrum, pseudospectrum, $C^*$-algebra.
Received: 17.03.2005
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 3, Pages 410–421
DOI: https://doi.org/10.1007/s11202-006-0053-2
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: O. G. Avsyankin, “Multidimensional integral operators with bihomogeneous kernels: A projection method and pseudospectra”, Sibirsk. Mat. Zh., 47:3 (2006), 501–513; Siberian Math. J., 47:3 (2006), 410–421
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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