On a generalization of the martingale maximal theorem
On a non-self adjoint expansion formula.
On a.e. convergence of expansion with respect to a bounded orthonormal system of polygonals
On an approximation of function and its derivatives.
On analytic rapidly decreasing functions of a real variable
Condizione necessaria e sufficiente affinché una funzione rapidamente decrescente di variabile reale sia uniformemente analitica è che per i suoi coefficienti di Fourier-Hermite riesca per abbastanza piccolo.
On Approximation Of Continuous And Differentiable Functions By Fourier-Jacobi Series
On bases and unconditional bases in the spaces ,1≤p<∞
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 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 degrees of approximation of some classes by polynomials with respect to generalized Haar system.
On general Franklin systems [Book]
On Hermite expansion of
On Higher Riesz Transforms for Gaussian Measures.
On -convergence of Walsh-Fourier series.
On orthonormal product systems.
On relations of coefficient conditions.