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 Improved interpolation theorems for a class of linear operatorsE. I. Berezhnoi, V. I. Burenkov 3 Differential operators and differential calculus in quantum groupsD. P. Zhelobenko 25 Real algebraic GM$\mathbb Z$-surfacesV. A. Krasnov 51 An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbersE. M. Matveev 81 The problem of the existence of sufficiently many injective Frechet modules over non-normed Frechet algebrasA. Yu. Pirkovskii 137 Description of the cohomology of Banach algebras and locally convex algebras in the language of $A_\infty$-structuresV. A. Smirnov, S. V. Kuznetsova, I. V. Mayorova 155 The subdifferential and the directional derivatives of the maximum of a family of convex functionsV. N. Solov'ev 173 Extremal interpolation in the mean with overlapping averaging intervals and $L$-splinesV. T. Shevaldin 201