Geodesic
Spaces of fractional quotients, discrete operators, and their applications.~I
Sbornik. Mathematics, Tome 190 (1999) no. 9, pp. 1267-1323

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

The theory of spaces of fractional quotients is expounded. These are, essentially, discrete analogues of the Sobolev-Slobodetskii spaces. They have been devised for a mathematical substantiation of the method of closed discrete vortex frameworks in the numerical solution of problems relating to flows of an ideal incompressible fluid about bodies in space. 
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     title = {Spaces of fractional quotients, discrete operators, and their {applications.~I}},
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I. K. Lifanov; L. N. Poltavskii. Spaces of fractional quotients, discrete operators, and their applications.~I. Sbornik. Mathematics, Tome 190 (1999) no. 9, pp. 1267-1323. http://geodesic.mathdoc.fr/item/SM_1999_190_9_a2/