Email this article Inversion Formulas for Integral Operations of Weighted Plane Wave Type
- Authors: Lyakhov L.N.1, Lapshina M.G.2
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Affiliations:
- Voronezh State University
- Lipetsk State Pedagogical University
- Issue: Vol 216, No 2 (2016)
- Pages: 270-278
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/237794
- DOI: https://doi.org/10.1007/s10958-016-2900-4
- ID: 237794
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Abstract
We obtain the inversion formula for Newton B-potentials with Hӧlder densities. If the weight exponent is a natural number, the weighted plane waves are represented via spherical transformations of integral operations with plane waves. The inversion formulas for integral operations with kernel are presented by the action of the Poisson operator on some power of the inner product of vectors.
About the authors
L. N. Lyakhov
Voronezh State University
Author for correspondence.
Email: levnlya@mail.ru
Russian Federation, 1, Universitetskaya pl., Voronezh, 394006
M. G. Lapshina
Lipetsk State Pedagogical University
Email: levnlya@mail.ru
Russian Federation, 42, Lenina St., Lipetsk, 398020
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