On Abel summability of multiple Jacobi series
On certain linear combinations of partial sums of Fourier series
On estimates for the mixed modulus of continuity of a function with a transformed Fourier series.
On estimating integral moduli of continuity of functions of several variables in terms of Fourier coefficients.
On Euler means and T-means of orthogonal series
On Fourier coefficients and transforms of functions of two variables
On Littlewood-Paley functions
On multi-dimensional generalizations of the Wiener-Żelazko and Lévy-Żelazko theorems
Multi-dimensional generalizations of the Wiener-Żelazko and Lévy-Żelazko theorems are obtained.
On Spectral Means And Some Of Their Applications
On the Bézout equation in the ring of periodic distributions
A corona type theorem is given for the ring D'A(Rd) of periodic distributions in Rd in terms of the sequence of Fourier coefficients of these distributions,which have at most polynomial growth. It is also shown that the Bass stable rank and the topological stable rank of D'A(Rd) are both equal to 1.
On the degree of convergence of Borel and Euler means for double Fourier series of functions of bounded variation in Hardy sense
For real functions of bounded variation in the Hardy sense, -periodic in each variable, the rates of pointwise convergence of the Borel and Euler means of their Fourier series are estimated.
On the integrability and L¹-convergence of double trigonometric series
On the localization property of square partial sums for multiple Fourier series
On the Mixed Modulus of Smoothness and a Class of Double Fourier Series
MSC 2010: 42A32; 42A20In this paper we have defined a new class of double numerical sequences. If the coefficients of a double cosine or sine trigonometric series belong to the such classes, then it is verified that they are Fourier series or equivalently their sums are integrable functions. In addition, we obtain an estimate for the mixed modulus of smoothness of a double sine Fourier series whose coefficients belong to the new class of sequences mention above.
On the representation of measurable functions by multiple trigonometric series
On the strong Cesàro summability of double orthogonal series
On the uniform convergence and -convergence of double Fourier series with respect to the Walsh-Kaczmarz system.
Oscillatory integrals and multiplier problem for the disc