On fractional derivatives
On General Hermite Trigonometric Interpolation.
On generation and propagation of tsunamis in a shallow running ocean.
On harmonic conjugates with exponential mean growth
On Hartman almost periodic functions
We consider multi-dimensional Hartman almost periodic functions and sequences, defined with respect to different averaging sequences of subsets in or . We consider the behavior of their Fourier-Bohr coefficients and their spectrum, depending on the particular averaging sequence, and we demonstrate this dependence by several examples. Extensions to compactly generated, locally compact, abelian groups are considered. We define generalized Marcinkiewicz spaces based upon arbitrary measure spaces...
On Heisenberg and local uncertainty principles for the -Dunkl transform.
On High Precision Methods for the Evaluation of Fourier Integrals with Finite and Infinite Limits.
On holomorphy in Banach spaces and absolute convergence of Fourier series
On instances of Fox’s integral equation connection to the Riemann zeta function
We consider some applications of the singular integral equation of the second kind of Fox. Some new solutions to Fox’s integral equation are discussed in relation to number theory.
On integrability of functions defined by trigonometric series.
On Integrability of Trigonometric Series with Quasi - Monotone Coefficients
On summability of Fourier series.
On Jackson type inequality in Orlicz classes.
It is shown that Jackson type inequality fails in the Orlicz classes φ(L) if φ(x) differs essentially from a power function of any order.
On Kahane's ultraflat polynomials
On convergence of certain cosine sums.
On -convergence of certain cosine sums with third semi-convex coefficients.
On convergence of certain cosine sums with twice quasi semi-convex coefficients.
On -convergence of certain generalized modified trigonometric sums
On integrability and convergence of trigonometric series
We first give a necessary and sufficient condition for , 1 < p < ∞, 1/p - 1 < γ < 1/p, where ϕ(x) is the sum of either or , under the condition that λₙ (where λₙ is aₙ or bₙ respectively) belongs to the class of so called Mean Value Bounded Variation Sequences (MVBVS). Then we discuss the relations among the Fourier coefficients λₙ and the sum function ϕ(x) under the condition that λₙ ∈ MVBVS, and deduce a sharp estimate for the weighted modulus of continuity of ϕ(x) in norm.
On Lacunary Incomplete Polynomials.