On Approximation Of Continuous And Differentiable Functions By Fourier-Jacobi Series
On bases and unconditional bases in the spaces ,1≤p<∞
On block recursions, Askey's sieved Jacobi polynomials and two related systems
Two systems of sieved Jacobi polynomials introduced by R. Askey are considered. Their orthogonality measures are determined via the theory of blocks of recurrence relations, circumventing any resort to properties of the Askey-Wilson polynomials. The connection with polynomial mappings is examined. Some naturally related systems are also dealt with and a simple procedure to compute their orthogonality measures is devised which seems to be applicable in many other instances.
On (C,1) summability for Vilenkin-like systems
We give a common generalization of the Walsh system, Vilenkin system, the character system of the group of 2-adic (m-adic) integers, the product system of normalized coordinate functions for continuous irreducible unitary representations of the coordinate groups of noncommutative Vilenkin groups, the UDMD product systems (defined by F. Schipp) and some other systems. We prove that for integrable functions σₙf → f (n → ∞) a.e., where σₙf is the nth (C,1) mean of f. (For the character system of the...
On (C,1) summability of integrable functions with respect to the Walsh-Kaczmarz system
Let G be the Walsh group. For we prove the a. e. convergence σf → f(n → ∞), where is the nth (C,1) mean of f with respect to the Walsh-Kaczmarz system. Define the maximal operator We prove that σ* is of type (p,p) for all 1 < p ≤ ∞ and of weak type (1,1). Moreover, , where H is the Hardy space on the Walsh group.
On Calderón-Toeplitz Operators.
On certain Heun functions, associated functions of discrete variables, and applications.
On conjugate Poisson integrals and Riesz transforms for the Hermite expansions
On convergence and divergence of Fourier-Bessel series.
On convergence of orthogonal series of Bessel functions
On convergence of orthonormal expansions for exponential weights.
On convergence subsystems of orthonormal systems.
On degrees of approximation of some classes by polynomials with respect to generalized Haar system.
On Discrete and Continous Norms in Paley-Wiener Spaces and Consequences for Exponential Frames.
On Discrete Frames Associated with Semidirect Products.
On Euler means and T-means of orthogonal series
On extension of Gabor transform to Boehmians
On Fourier series in eigenfunctions of elliptic boundary value problems.
On Fourier series of Jacobi-Sobolev orthogonal polynomials.