Geodesic
Inversion and characterization of some potentials with the densities in $L^p$ in the non-elliptic case
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2011), pp. 43-49

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We construct the inversion of generalized Strichartz potentials with singularities of the kernels on a finite union of spheres in $\mathbb R^n$ with densities from space $L^p$, $1\leq p\leq 2$ and Hardy space $H^1$ in the non-elliptic case, when its symbols degenerate on a set of zero measure in $\mathbb R^n$. We also give the description of these potentials in terms of the inverting constructions.
Mots-clés : convolution, multiplier, distribution.
Keywords: oscillating symbol 
@article{VSGTU_2011_4_a5,
     author = {A. V. Gil' and A. I. Zadorozhnyi and V. A. Nogin},
     title = {Inversion and characterization of some potentials with the densities in $L^p$ in the non-elliptic case},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {43--49},
     publisher = {mathdoc},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2011_4_a5/}
}
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A. V. Gil'; A. I. Zadorozhnyi; V. A. Nogin. Inversion and characterization of some potentials with the densities in $L^p$ in the non-elliptic case. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2011), pp. 43-49. http://geodesic.mathdoc.fr/item/VSGTU_2011_4_a5/