On estimates for the mixed modulus of continuity of a function with a transformed Fourier series.
On estimates for the moduli of smoothness of functions 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 extension of Gabor transform to Boehmians
On extension of scalar valued positive definite functions on ordered groups.
On extrapolation blowups in the scale.
On summability of Fourier series
On Falconer's distance set conjecture.
In this paper, using a recent parabolic restriction estimate of Tao, we obtain improved partial results in the direction of Falconer's distance set conjecture in dimensions d ≥ 3.
On formal trigonometrical series
On Fourier asymptotics of a generalized Cantor measure
Let d be a positive integer and μ a generalized Cantor measure satisfying , where , , with 0 < ρ < 1 and R an orthogonal transformation of . Then ⎧1 < p ≤ 2 ⇒ ⎨, , ⎩ p = 2 ⇒ infr≥1 rd(1/α’-1/2) (∫J₀r|μ̂(y)|² dy)1/2 ≥ D₂ρd/α’where , α’ is defined by and the constants D₁ and D₂ depend only on d and p.
On Fourier coefficients and factorable operators.
On Fourier coefficients and transforms of functions of two variables
On Fourier coefficients of class .
On Fourier coefficients of functions of generalized Wiener class.
On Fourier multiplier criteria of Marcinkiewicz type
On Fourier series in eigenfunctions of elliptic boundary value problems.
On Fourier series of Jacobi-Sobolev orthogonal polynomials.
On Fourier-Stieltjes transforms integer-valued on a given subset.
On fractional derivatives