A note on singular integrals
A note on some expansions of p-adic functions
Introduction. Recently J. Rutkowski (see [3]) has defined the p-adic analogue of the Walsh system, which we shall denote by . The system is defined in the space C(ℤₚ,ℂₚ) of ℂₚ-valued continuous functions on ℤₚ. J. Rutkowski has also considered some questions concerning expansions of functions from C(ℤₚ,ℂₚ) with respect to . This paper is a remark to Rutkowski’s paper. We define another system in C(ℤₚ,ℂₚ), investigate its properties and compare it to the system defined by Rutkowski. The system...
A note on the best approximation by ridge functions.
A note on the construction of nonseparable wavelet bases and multiwavelet matrix filters of , where .
A note on the convolution theorem for the Fourier transform
In this paper we characterize those bounded linear transformations carrying into the space of bounded continuous functions on , for which the convolution identity holds. It is shown that such a transformation is just the Fourier transform combined with an appropriate change of variable.
A note on the Littlewood-Paley square function inequality
A note on the magnitude of Walsh Fourier coefficients.
A note on the Marcinkiewicz integral
A note on the strong maximal operator on ℝⁿ
We prove that for f ∈ L ln⁺L(ℝⁿ) with compact support, there is a g ∈ L ln⁺L(ℝⁿ) such that (a) g and f are equidistributed, (b) for any measurable set E of finite measure.
A note on the means
A note on Triebel-Lizorkin spaces
A note on estimates for quasilinear parabolic equations.
A note on wavelet bases in function spaces
A Note on Wavelets and S-asymptotics
A note on weak estimates for oscillating kernels
A note on weighted estimates for the Schrödinger operator.
A note to the Fourier method of solving partial second-order differential equations
A Paley type inequality for two-parameter Vilenkin-Fourier coefficients.
A particular smooth interpolation that generates splines
There are two grounds the spline theory stems from - the algebraic one (where splines are understood as piecewise smooth functions satisfying some continuity conditions) and the variational one (where splines are obtained via minimization of some quadratic functionals with constraints). We use the general variational approach called smooth interpolation introduced by Talmi and Gilat and show that it covers not only the cubic spline and its 2D and 3D analogues but also the well known tension spline...
A partir et autour de Wiener