Geodesic

Orthogonal series and approximations of functions

The first steps of N.\,N.~Luzin's school
p. 3-5
Uniform asymptotic representations of orthogonal polynomials
p. 6-36
Gibbs constants for partial sums of Fourier--Walsh series and their $(C,1)$-means
p. 37-48
Construction of polynomial bases in finite-dimensional spaces of functions analytic in the disk
p. 49-74
Multiple interpolation splines of degree $2k+1$ and defect~$k$
p. 75-99
Representation of measurable functions by multiple trigonometric series
p. 100-123
Luzin's $C$-property for a~conjugate function
p. 124-135
Averaged moduli of smoothness for functions of several variables and function spaces generated by them
p. 136-141
An analogue of A.\,A.~Markov's inequality. Application to interpolation and Fourier series
p. 142-154
The local character of certain properties of complete orthonormal systems
p. 155-168
Orthogonal series and approximations of functions
p. 169-179
Conditions for integrability of multiple trigonometric series
p. 180-188
Relations between best approximations of functions analytic in the bidisk
p. 189-196
Bases and $K$-functionals for Sobolev spaces over compact manifolds of class $C^\infty$
p. 197-202
Some problems of extremal interpolation in the mean for linear differential operators
p. 203-240