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.
On Littlewood-Paley functions
On Local Central Lacunary Sets for Compact Lie Groups.
On locally bounded algebras
It is a survey talk concerning locally bounded algebras.
On Menshoff's Set of Multiplicity.
On modular approximation property in the Besicovitch-Orlicz space of almost periodic functions
We investigate some convergence questions in the class of Besicovitch-Orlicz spaces of vector valued functions. Next, the existence problem of the projection operator on closed convex subsets is considered in the class of almost periodic functions. This problem was considered in [5], in the case of an Orlicz space. The approximation property obtained in both cases are of the same kind. However, the arguments which are used in the proofs are different.
On Mohanty's Criterion for Absolute Convergence of Fourier Series.
On summability of Fourier series.
On summability factors of Fourier series
On Nonlinear Condensation Principles with Rates.
On numerical evaluation of integrals involving Bessel functions
On osculatory interpolation by trigonometric polynomials.
On polynomials with simple trigonometric formulas.
On quasiradial Fourier multiplier and their maximal functions.
On Representations of Algebraic Polynomials by Superpositions of Plane Waves
* The author was supported by NSF Grant No. DMS 9706883.Let P be a bi-variate algebraic polynomial of degree n with the real senior part, and Y = {yj }1,n an n-element collection of pairwise noncolinear unit vectors on the real plane. It is proved that there exists a rigid rotation Y^φ of Y by an angle φ = φ(P, Y ) ∈ [0, π/n] such that P equals the sum of n plane wave polynomials, that propagate in the directions ∈ Y^φ .
On some classes of almost periodic functions in abstract spaces.