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On an integrodifferential operator of potential theory. (Russian) Zbl 0667.45013

The author discusses an integrodifferential operator that can play the role of the Cauchy integral in the study of non-Fredholm boundary value problems for the Laplace equation in more than two independent variables.
Reviewer: C.Constanda

MSC:

45P05 Integral operators
47Gxx Integral, integro-differential, and pseudodifferential operators
31B20 Boundary value and inverse problems for harmonic functions in higher dimensions
35J25 Boundary value problems for second-order elliptic equations
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