Abstract
We study operators associated with a bundle with compact base and fiber. We construct an algebra of such operators. For elliptic elements of the algebra, we prove the finiteness theorem and derive an index formula.
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Original Russian Text © A.Yu. Savin, B.Yu. Sternin, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 8, pp. 1118–1127.
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Savin, A.Y., Sternin, B.Y. Index of nonlocal problems associated with a bundle. Diff Equat 50, 1112–1121 (2014). https://doi.org/10.1134/S0012266114080096
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DOI: https://doi.org/10.1134/S0012266114080096