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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2024 Volume 24, Number 2, Pages 193–199 (Mi dvmg544)

Focusing of hydroacoustic images based on multiangle sounding data

Е. О. Kovalenkoa, A. A. Sushchenkoab

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok

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.

Key words: radiation transfer equation, inverse problem, bottom and volume scattering, multibeam sensing

UDC: 517.958

MSC: Primary 35Q20; Secondary 35Q60

Received: 27.03.2023
Accepted: 18.11.2024

Language: English

DOI: 10.47910/FEMJ202418



© Steklov Math. Inst. of RAS, 2025