On the best values of the constants in the theorem of M. Riesz, Zygmund and Kolmogorov
On the bilinear Hilbert transform.
On the boundedness of the norms of trigonometric polynomials and their application to summation methods of Fourier series.
On the calculation of approximate fekete points: the univariate case.
On the coefficients in Fourier-Stieltjes series with norm-bounded partial sums
On the comparison of trigonometric convolution operators with their discrete analogues for Riemann integrable functions.
On the Constant in the Littlewood Problem.
On The Convergence Of A Lacunary Fourier Series And It's Conjugate Series
On the convergence of a lacunary Fourier series and its conjugate series.
On the convergence of biorthogonal series corresponding to nonselfadjoint Sturm-Liouville operator with discontinuous coefficients.
On the convergence of moments in the CLT for triangular arrays with an application to random polynomials
We give a proof of convergence of moments in the Central Limit Theorem (under the Lyapunov-Lindeberg condition) for triangular arrays, yielding a new estimate of the speed of convergence expressed in terms of νth moments. We also give an application to the convergence in the mean of the pth moments of certain random trigonometric polynomials built from triangular arrays of independent random variables, thereby extending some recent work of Borwein and Lockhart.
On the convolution of a probability measure.
On the degree of approximation by Gauss Weierstrass integrals.
On the Degree of Approximation by the Operators of de la Vallée Poussin.
On the degree of convergence of Borel and Euler means of trigonometric series
On the degree of strong approximation of continuous functions by special matrix.
On the degree of strong approximation of integrable functions.
On the degree of strong approximation of integrable functions in Stepanov sense
Considering the class of almost periodic functions integrable in the Stepanov sense we extend and generalize certain results of the first author, as well as of L. Leindler and P. Chandra.
On the Dirichlet and Neumann problems in multi-dimensional cone
We consider an elliptic pseudodifferential equation in a multi-dimensional cone, and using the wave factorization concept for an elliptic symbol we describe a general solution of such equation in Sobolev-Slobodetskii spaces. This general solution depends on some arbitrary functions, their quantity being determined by an index of the wave factorization. For identifying these arbitrary functions one needs some additional conditions, for example, boundary conditions. Simple boundary value problems,...
On the distribution of zeros of exponential polynomials