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On the index and spectrum of integral operators of potential type along Radon curves. (English. Russian original) Zbl 0728.47033
Math. USSR, Sb. 70, No. 1, 175-203 (1991); translation from Mat. Sb. 181, No. 6, 751-778 (1990).
The author studies the influence of the irregularity of the integration contour on classes of integral equations of mathematical physics. He obtains criteria for the Noether property of matrix integral equations with operators of potential type in \(L_ p\), \(1<p<\infty\). The theory is extended to systems of integral equations arising in elasticity.

MSC:
47G10 Integral operators
45P05 Integral operators
47A53 (Semi-) Fredholm operators; index theories
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