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 Duality in Siegel's theorem on representation by a genus of quadratic forms, and the averaging operatorA. N. Andrianov 3 Isometric immersions of domains of three-dimensional Lobachevskii space in five-dimensional Euclidean space, and the motion of a rigid bodyYu. A. Aminov 12 Finitely generated special Jordan and alternative $PI$-algebrasI. P. Shestakov 31 On properties of functions of bounded variation on a setT. P. Lukashenko 41 Existence, nonexistence and regularity theorems in a problem with a free boundaryA. Badzhadi, A. S. Demidov 64 Algebraic groups associated with Cartan Lie $p$-algebrasA. A. Premet 82 Central polynomials in irreducible representations of a semisimple Lie algebraYu. P. Razmyslov 97