On Higher Riesz Transforms for Gaussian Measures.
On infinitely smooth almost-wavelets with compact support.
There are known wavelets with exponential decay on infinity [2,3,4] and wavelets with compact support [5]. But these functions have finite smoothness. It is known that there do not exist infinitely differentiable compactly supported wavelets.
On -convergence of Walsh-Fourier series.
On Lower Bounds of Exponential Frames.
On Multiresolution Analysis (MRA) Wavelets in ...
On Multiresolution Analysis of Multiplicity d.
On multiscale denoising of spherical functions: basic theory and numerical aspects.
On Orthogonal Wavelets with the Oversampling Property.
On orthonormal product systems.
On recurrence property of Riesz-Raikov sums.
On relations of coefficient conditions.
On some expansions of p-adic functions
On strong Euler summability of orthogonal series
On the -problem in Weyl-Heisenberg frames
Let . We investigate the characterization problem which asks for a classification of all the triples such that the Weyl-Heisenberg system is a frame for . It turns out that the answer to the problem is quite complicated, see Gu and Han (2008) and Janssen (2003). Using a dilation technique, one can reduce the problem to the case where and only let and vary. In this paper, we extend the Zak transform technique and use the Fourier analysis technique to study the problem for the case of...
On the absolute Cesàro summability of the ultraspherical series
On the absolute convergence factors of an orthogonal series
On the absolute summability of series with respect to block-orthonormal systems.
On the adaptive wavelet estimation of a multidimensional regression function under -mixing dependence: Beyond the standard assumptions on the noise
We investigate the estimation of a multidimensional regression function from observations of an -mixing process , where , represents the design and the noise. We concentrate on wavelet methods. In most papers considering this problem, either the proposed wavelet estimator is not adaptive (i.e., it depends on the knowledge of the smoothness of in its construction) or it is supposed that is bounded or/and has a known distribution. In this paper, we go far beyond this classical framework....
On the a.e. Divergence of the arithmetic means of double orthogonal series
On the asymptotic behaviour of some sequences of polynomials generated by second order linear recurrence relations.