Geodesic
Intermediate inversion formulas in integral geometry
Lobachevskii journal of mathematics, Tome 3 (1999), pp. 97-111.

Voir la notice de l'article provenant de la source Math-Net.Ru

We solve the following “intermediate” problem of integral geometry: to reconstruct integrals of a function over $p$-dimensional planes in $\mathbb R^n$ starting from its integrals over $k$-planes, where $p$. Some generalizations are also presented.
Keywords: integral geometry, intermediate problems, differential forms, intermediate differential forms.
Mots-clés : inversion formulas 
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     author = {M. M. Graev},
     title = {Intermediate inversion formulas in integral geometry},
     journal = {Lobachevskii journal of mathematics},
     pages = {97--111},
     publisher = {mathdoc},
     volume = {3},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_1999_3_a4/}
}
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M. M. Graev. Intermediate inversion formulas in integral geometry. Lobachevskii journal of mathematics, Tome 3 (1999), pp. 97-111. http://geodesic.mathdoc.fr/item/LJM_1999_3_a4/