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 Spaces with bases of finite rankA. V. Arkhangel'skii, V. V. Filippov 147 Discontinuous solutions of nonlinear mixed problems for hyperbolic equations on a planeV. N. Gol'dberg 159 On reflexive operator algebrasV. S. Shulman 179 Integral inequalities for conjugate harmonic functions of several variablesA. A. Bonami 188 On the asymptotic expansion of Green's function for the heat conduction equation with small parameterG. A. Nesenenko 204 Linkings, two-sheeted branched coverings and braidsO. Ya. Viro 216 On a theorem of Marcinkiewicz type for $H$-valued functions. A continual form of the Paley–Littlewood theoremP. I. Lizorkin 229 A justification of the averaging method for a problem of convection in a field of rapidly oscillating forces and for other parabolic equationsI. B. Simonenko 236 Best approximations of functions in the $L_p$ metric by Haar and Walsh polynomialsB. I. Golubov 254 Fixed points and the degree of a mappingP. D. Mil'man 275 On eigenfunctions of an operator corresponding to the poles of the analytic continuation of the resolvent through the continuous spectrumB. R. Vainberg 293