On Calderón's conjecture.
On certain linear combinations of partial sums of Fourier series
On Cesaro Means in Hardy Spaces
On convergence of Fourier series of functions of generalized bounded variation
On convergence of greedy approximations for the trigonometric system.
On convergence of the Fourier series of a constructive function of weakly bounded variation
On converse theorems of trigonometric approximation in weighted variable exponent Lebesgue spaces.
On convolution operators with small support which are far from being convolution by a bounded measure
Let be the left convolution operators on with support included in F and denote those which are norm limits of convolution by bounded measures in M(F). Conditions on F are given which insure that , and are as big as they can be, namely have as a quotient, where the ergodic space W contains, and at times is very big relative to . Other subspaces of are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.
On cosine polynomials corresponding to sets of integers
On counterexamples in multivariate approximation
On discrete Fourier spectrum of a harmonic with random frequency modulation
Asymptotic properties of the Discrete Fourier Transform spectrum of a complex monochromatic oscillation with frequency randomly distorted at the observation times t=0,1,..., n-1 by a series of independent and identically distributed fluctuations is investigated. It is proved that the second moments of the spectrum at the discrete Fourier frequencies converge uniformly to zero as n → ∞ for certain frequency fluctuation distributions. The observed effect occurs even for frequency fluctuations with...
On Dualizing a Multivariable Poisson Summation Formula.
On equivalence question between the Ditzian-Totik modulus of smoothness and an usual periodic modulus of smoothness.
On estimates for the mixed modulus of continuity of a function with a transformed Fourier series.
On estimates for the moduli of smoothness of functions with a transformed Fourier series.
On Euler means and T-means of orthogonal series
On extension of scalar valued positive definite functions on ordered groups.
On summability of Fourier series
On formal trigonometrical series
On Fourier coefficients and factorable operators.