Small sets in the support of a Fourier-Stieltjes transform
Smooth rough paths and applications to Fourier analysis.
Solutions indéfiniment dérivables et solutions presque-périodiques d'une équation de convolution
Solutions of an ordinary differential equation as a class of Fourier kernels.
Solutions of Fractional Diffusion-Wave Equations in Terms of H-functions
MSC 2010: 35R11, 42A38, 26A33, 33E12The method of integral transforms based on joint application of a fractional generalization of the Fourier transform and the classical Laplace transform is utilized for solving Cauchy-type problems for the time-space fractional diffusion-wave equations expressed in terms of the Caputo time-fractional derivative and the Weyl space-fractional operator. The solutions obtained are in integral form whose kernels are Green functions expressed in terms of the Fox H-functions....
Solutions to Deconvolution Equations Using Nonperiodic Sampling.
Solving singular convolution equations using the inverse fast Fourier transform
The inverse Fast Fourier Transform is a common procedure to solve a convolution equation provided the transfer function has no zeros on the unit circle. In our paper we generalize this method to the case of a singular convolution equation and prove that if the transfer function is a trigonometric polynomial with simple zeros on the unit circle, then this method can be extended.
Solving Theodorsen's Integral Equation for Conformai Maps with the Fast Fourier Transform and Various Nonlinear Iterative Methods.
Some absolutely effective product methods.
Some approximation problems in -spaces of matrix-valued functions
Some Coefficient Estimates for Polynomials on the Unit Interval
2000 Mathematics Subject Classification: 26C05, 26C10, 30A12, 30D15, 42A05, 42C05.In this paper we present some inequalities about the moduli of the coefficients of polynomials of the form f (x) : = еn = 0nan xn, where a0, ј, an О C. They can be seen as generalizations, refinements or analogues of the famous inequality of P. L. Chebyshev, according to which |an| Ј 2n-1 if | еn = 0n an xn | Ј 1 for -1 Ј x Ј 1.
Some exact inequalities of Hardy-Littlewood-Pólya type for periodic functions.
Some footprints of Marcinkiewicz in summability theory
Four basic results of Marcinkiewicz are presented in summability theory. We show that setting out from these theorems many mathematicians have reached several nice results for trigonometric, Walsh- and Ciesielski-Fourier series.
Some incorrigible functions
Some negative results concerning the process of Fejér type trigonometric convolution.
Some new inequalities for trigonometric polynomials with special coefficients.
Some new modified cosine sums and -convergence of cosine trigonometric series
In this paper we introduce some new modified cosine sums and then using these sums we study -convergence of trigonometric cosine series.
Some orthogonalities in approximation theory.
Some oscillatory integrals and their applications
Some problems arising from prediction theory and a theorem of Kolmogorov.