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Matematicheskie Zametki, 2014, Volume 95, Issue 2, Pages 163–169
DOI: https://doi.org/10.4213/mzm10221 (Mi mzm10221) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On an Algebra of Multidimensional Integral Operators with Homogeneous-Difference Kernels

O. G. Avsyankin

Southern Federal University, Rostov-on-Don
Full-text PDF (448 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm10221
Abstract: A Banach algebra generated by multidimensional integral operators with homogeneous-difference kernels is considered. A symbolic calculus is constructed for this algebra and, in terms of this calculus, necessary and sufficient conditions for the invertibility of an operator are obtained.
Keywords: multidimensional integral operator, homogeneous-difference kernel, symbolic calculus, invertibility.
Received: 12.12.2012
English version:
Mathematical Notes, 2014, Volume 95, Issue 2, Pages 143–148
DOI: https://doi.org/10.1134/S0001434614010167
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: O. G. Avsyankin, “On an Algebra of Multidimensional Integral Operators with Homogeneous-Difference Kernels”, Mat. Zametki, 95:2 (2014), 163–169; Math. Notes, 95:2 (2014), 143–148
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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