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Matematicheskie Zametki, 2003, Volume 73, Issue 4, Pages 483–493
DOI: https://doi.org/10.4213/mzm199 (Mi mzm199) 		 
This article is cited in 17 scientific papers (total in 17 papers)

On the Algebra of Pair Integral Operators with Homogeneous Kernels

O. G. Avsyankin

Rostov State University
Full-text PDF (218 kB) Citations (17)
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DOI: https://doi.org/10.4213/mzm199
Abstract: In this paper, we study the Banach algebra $\mathfrak A$ generated by multidimensional pair integral operators with homogeneous kernels. We describe necessary and sufficient conditions for operators from the algebra $\mathfrak A$ to be Fredholm and present a formula for calculating the index.
Received: 12.02.2001
Revised: 20.11.2001
English version:
Mathematical Notes, 2003, Volume 73, Issue 4, Pages 457–466
DOI: https://doi.org/10.1023/A:1023294818152
Bibliographic databases:
UDC: 517.948
Language: Russian
Citation: O. G. Avsyankin, “On the Algebra of Pair Integral Operators with Homogeneous Kernels”, Mat. Zametki, 73:4 (2003), 483–493; Math. Notes, 73:4 (2003), 457–466
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
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