Mat. Zametki, 2007, Volume 81, Issue 1

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2007, Volume 81, Issue 1

	On Orders of Approximation of Function Classes in Lorentz spaces with Anisotropic Norm G. A. Akishev	3
	Spectral Theory of Linear Relations on Real Banach Spaces A. G. Baskakov, A. S. Zagorskii	17
	Quantization of Periodic Motions on Compact Surfaces of Constant Negative Curvature in a Magnetic Field J. Brüning, R. V. Nekrasov, A. I. Shafarevich	32
	Interpolation of Positive Operators L. V. Veselova, F. A. Sukochev, O. E. Tikhonov	43
	On the Injectivity of the Local Pompeiu Transform on the Sphere V. V. Volchkov	59
	Deformations of Functionals and Bifurcations of Extremals V. S. Klimov	70
	Fano Surfaces of Real Quartics V. A. Krasnov	83
	General Maximal Inequalities Related to the Strong Law of Large Numbers Sh. Levental, H. Salehi, S. A. Chobanyan	98
	On the Elementary Obstruction to the Existence of Rational Points A. N. Skorobogatov	112
	Unit Disk of the Smallest Self-Perimeter in a Minkowski Plane A. I. Shcherba	125

Brief Communications
	A Counterexample to the Dimension Conjecture V. K. Beloshapka	136
	Sobolev–Poincaré-Type Inequality on Metric Spaces in Terms of Sharp-Maximal Functions E. V. Ignat'eva	140
	Nondegenerate Saddles and Nonmixing Transformations II A. V. Kochergin	145
	Two-Component Generalizations of the Camassa–Holm Equation P. A. Kuzmin	149
	On the Existence of Entire Solutions to a Class of Semilinear Elliptic Equations on Noncompact Riemann Manifolds E. A. Mazepa	153
	General Notion of a Topological Space of Negative Dimension and Quantization of Its Density V. P. Maslov	157