This article is cited in 2 scientific papers (total in 2 papers)
Inversion and description of the ranges of potentials with singularities of their kernels on a sphere
A. V. Gila, V. A. Noginab
a Southern Federal University, Russia, Rostov-on-Don
b South Mathematical Institute of VSC RAS, Russia, Vladikavkaz
Within the framework of the method of approximative inverse operators we construct the inversion of generalized Strichartz potentials with densities in the Hardy space $H^1$ in the non-elliptic case, when their symbols degenerate on a set of measure zero. The ranges of these operators are also described.
convolution, oscillating symbol, range, multiplier, method of approximative inverse operators.
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A. V. Gil, V. A. Nogin, “Inversion and description of the ranges of potentials with singularities of their kernels on a sphere”, Vladikavkaz. Mat. Zh., 14:4 (2012), 10–18
Citation in format AMSBIB
\by A.~V.~Gil, V.~A.~Nogin
\paper Inversion and description of the ranges of potentials with singularities of their kernels on a~sphere
\jour Vladikavkaz. Mat. Zh.
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