On fredholm riggings of G-translators
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We consider riggings of G-translators on manifolds with multidimensional singularities. We derive a condition for the ellipticity of G-riggings, prove the finiteness theorem, and analyze the relationship between the notions of G-ellipticity and ordinary ellipticity of the riggings. The interest in this class of operators arises in connection with the study of nonlocal pseudodifferential operators.
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- 2.Sternin, B.Yu., Ellipticheskaya teoriya na kompaktnykh mnogoobraziyakh s osobennostyami (Elliptic Theory on Compact Manifolds with Singularities), Moscow: Moskov. Inst. Elektron. Mashinostroen., 1974.Google Scholar
- 4.Savin, A.Yu. and Sternin, B.Yu., On the Index of Elliptic Translators, Dokl. Akad. Nauk, 2011, vol. 436, no. 4, pp. 443–447.Google Scholar
- 5.Luke, G., Pseudodifferential Operators on Hilbert Bundles, J. Differential Equations, 1972, no. 12. S. 566–589.Google Scholar
- 6.Zelikin, M.I. and Sternin, B.Yu., A System of Integral Equations That Arises in the Problem of S.L. Sobolev, Sibirsk. Mat. Zh., 1977, no. 1, pp. 97–102.Google Scholar