References
N. Karapetiants and S. Samko, Equations with Involutive Operators (Birkhäuser, Boston, Basel, Berlin, 2001).
O. G. Avsyankin and N. K. Karapetyants, “Multidimensional Integral Operators with Homogeneous of the Degree (−n) Kernels,” Dokl. Ross. Akad. Nauk 368(6), 727–729 (1999).
O. G. Avsyankin and N. K. Karapetyants, “Algebra of Multidimensional Integral Operators with Homogeneous Kernels with Varying Coefficients,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 1, 3–10 (2001) [Russian Mathematics (Iz. VUZ) 45 (1) 1–8 (2001)].
O. G. Avsyankin, “Applicability of Projection Method to Pair Integral Operators with Homogeneous Kernels,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 8, 3–7 (2002). [Russian Mathematics (Iz. VUZ) 46 (8) 1–5 (2002)].
O. G. Avsyankin, “The Algebra of Pair Integral Operators with Homogeneous Kernels,” Matem. Zametki 73(4), 483–493 (2003).
S. G. Samko, Hypersingular Integrals and Applications (Rostovsk. Gos. Univ., Rostov-on-Don, 1984) [in Russian].
N. K. Karapetyants, “The Integral Operators with Coordinate-Wise Homogeneous Kernels,” Soobshch Akad. Nauk GruzSSR 105(3), 469–472 (1982).
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Original Russian Text © O.G. Avsyankin, 2007, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2007, No. 8, pp. 66–69.
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Avsyankin, O.G. Multidimensional integral operators with kernels of mixed homogeneity. Russ Math. 51, 63–66 (2007). https://doi.org/10.3103/S1066369X07080075
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DOI: https://doi.org/10.3103/S1066369X07080075