Far Eastern Mathematical Journal

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Focusing of hydroacoustic images based on multiangle sounding data


E. O. Kovalenko, A. A. Sushchenko

2024, issue 2, P. 193-199
DOI: https://doi.org/10.47910/FEMJ202418


Abstract
In this paper we prove a convergent part of inhomogeneous Groshev type theorem for non-degenerate curves in Euclidean space where an error function is not necessarily monotonic. Our result naturally incorporates and generalizes the homogeneous measure theorem for non-degenerate curves. In particular, the method of Inhomogeneous Transference Principle and Sprindzuk's method of essential and inessential domains are used in the proof.

Keywords:
radiation transfer equation, inverse problem, bottom and volume scattering, multibeam sensing.

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