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The issue is dedicated to the 100th anniversary of the academician Nikolai Nikolaevich Luzin

	Nikolaj Nikolaevich Luzin (on his 100th birthday)		3
	Spaces of functions and conditions of completeness type A. V. Arkhangel'skii		4
	Hydrodynamics of Hamiltonian systems V. V. Kozlov		10
	Sharp estimates in Hölder spaces for generalized solutions of the biharmonic equation, the system of Navier–Stokes equations and the von Kármán system in nonsmooth two-dimensional domains V. A. Kondratiev, O. A. Oleinik		22
	On the theory of selfadjoint quadratic operator pencils A. G. Kostyuchenko, A. A. Shkalikov		40
	Independence of the spectrum of an elliptic operator with random coefficients A. S. Mishchenko, F. Sharipov		51
	Marcinkiewicz means of double Fourier integrals in $H_p$ ($p\le1$) P. Oswald		56
	Uniqueness of series in a Haar system with monotone coefficients P. L. Ul'yanov		63
	Luzin's problems on constituents and their fate V. A. Uspenskii, V. G. Kanovei		73
	Absolute minima of the volume functional and of the Dirichlet functional on Riemannian manifolds A. T. Fomenko		87
	The basic lemma of the method of proof of algebraic independence of values of $E$ -functions A. B. Shidlovskii		94
	Existence of homoclinic motions S. V. Bolotin		98