, Volume 48, Issue 8, pp 1192-1196

On fredholm riggings of G-translators

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Abstract

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.

Original Russian Text © L.L. Nguyen, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 8, pp. 1204–1208.