Trudy Mat. Inst. Steklov., 1983, Volume 164

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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1983, Volume 164

Contents

Orthogonal series and approximations of functions

Collection of articles. Dedicated to Academician N. N. Luzin on the occasion of the 100th anniversary of his birth

	Nikolai Nikolaevich Luzin (1883–1950) (photo)
	The first steps of N. N. Luzin's school D. E. Men'shov		3
	Uniform asymptotic representations of orthogonal polynomials V. M. Badkov		6
	Gibbs constants for partial sums of Fourier–Walsh series and their $(C,1)$-means L. A. Balashov, V. A. Skvortsov		37
	Construction of polynomial bases in finite-dimensional spaces of functions analytic in the disk S. V. Bochkarev		49
	Multiple interpolation splines of degree $2k+1$ and defect $k$ N. L. Zmatrakov, Yu. N. Subbotin		75
	Representation of measurable functions by multiple trigonometric series V. I. Ivanov		100
	Luzin's $C$-property for a conjugate function K. I. Oskolkov		124
	Averaged moduli of smoothness for functions of several variables and function spaces generated by them V. A. Popov, V. Kh. Khristov		136
	An analogue of A. A. Markov's inequality. Application to interpolation and Fourier series Al. A. Privalov		142
	The local character of certain properties of complete orthonormal systems A. A. Talalyan		155
	Orthogonal series and approximations of functions K. Tandori		169
	Conditions for integrability of multiple trigonometric series S. A. Telyakovskii		180
	Relations between best approximations of functions analytic in the bidisk V. N. Temlyakov		189
	Bases and $K$-functionals for Sobolev spaces over compact manifolds of class $C^\infty$ Z. Ciesielski		197
	Some problems of extremal interpolation in the mean for linear differential operators V. T. Shevaldin		203