L1-Convergence Of Fourier Series With Coefficients Monotonic With Respect To Regularly Varying Sequences
L2-approximation by the translates of a function and related attenuation factors.
L'espace des fonctions presque-périodiques dont le spectre est contenu dans un ensemble compact dénombrable a la propriété de Schur
Mémoire sur l'approximation des fonctions de très-grands nombres, et sur une classe étendue de développements en série.
Necessary conditions for the Fourier coefficients of periodic functions to belong to B(p, k, )-classes of Besov type.
Necessary conditions for the -convergence of single and double trigonometric series
We give necessary conditions in terms of the coefficients for the convergence of a double trigonometric series in the -metric, where . The results and their proofs have been motivated by the recent papers of A. S. Belov (2008) and F. Móricz (2010). Our basic tools in the proofs are the Hardy-Littlewood inequality for functions in and the Bernstein-Zygmund inequalities for the derivatives of trigonometric polynomials and their conjugates in the -metric, where .
O rychlém odvození některých řad trigonometrických. [I.]
O rychlém odvození některých řad trigonometrických. [II.]
On a generalization of Fourier series
On a generalization of Hankel kernel.
On a problem of Littlewood.
On a theorem of Saeki concerning convolution squares of singular measures
If , then there exists a probability measure such that the Hausdorff dimension of the support of is and is a Lipschitz function of class .
On Abel summability of multiple Jacobi series
On certain linear combinations of partial sums of Fourier series
On Cesaro Means in Hardy Spaces
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 formal trigonometrical series
On Fourier coefficients and factorable operators.
On Fourier coefficients and transforms of functions of two variables