Inversion and description of the ranges of potentials with singularities of their kernels on a sphere

Gil A. V. , Nogin V. A.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 4.

Abstract:
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.

Keywords: convolution, oscillating symbol, range, multiplier, method of approximative inverse operators

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