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 Extremal functions of integral functionals in $H^\omega[a,b]$S. K. Bagdasarov 3 Injectivity sets for the Radon transform over a sphereV. V. Volchkov 63 Approximations with a sign-sensitive weight. Stability, applications to the theory of snakes and Hausdorff approximationsE. P. Dolzhenko, E. A. Sevast'yanov 77 Truncation of systems of polynomial equations, ideals and varietiesB. Ya. Kazarnovskii 119 On asymptotic values of entire functionsI. I. Marchenko 133 On the best $L_1$-approximation by algebraic polynomials to truncated powers and to classes of functions with $L_1$-bounded derivativeV. P. Motornyi, O. V. Motornaya 147 Subalgebras and discriminants of anticommutative algebrasE. A. Tevelev 169 Well-posed extensions of unstable control problems with integral constraintsA. G. Chentsov 185 Letter to the editorsD. N. Cheban 224