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 From the Editorial Board of Matematicheskii Sbornik Local Petrovskii lacunas close to parabolic singular points of the wavefronts of strictly hyperbolic partial differential equationsV. A. Vassiliev 4 $L_p$-estimates for the nontangential maximal function of the solution to a second-order elliptic equationA. K. Gushchin 28 Lieb-Thirring inequalities on the torusA. A. Ilyin, A. A. Laptev 56 Topology of the configuration space, singularities of the potential, and polynomial integrals of equations of dynamicsV. V. Kozlov, D. V. Treschev 80 Quantization of the Sobolev space of half-differentiable functionsA. G. Sergeev 96 The spaces of non-contractible closed curves in compact space formsI. A. Taimanov 105 Derivatives at the boundary for analytic Lipschitz functionsA. G. O'Farrell 119