R. S. Sukhanov, “Rademacher chaoses and Bernoulli polynomials”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, Issue 3/1(94),Pages <nobr>66

This article is cited in 1 paper

Mathematics

Rademacher chaoses and Bernoulli polynomials

R. S. Sukhanov

Dept. of Functional Analysis and Theory of Functions, Samara State University, Samara, 443011, Russian Federation

Abstract: In this paper we prove that any Bernoulli polynomial of even (odd) order is an absolutely convergent series of functions from some Rademacher chaoses, each of them is of even (odd) order.

Keywords: Rademacher chaoses, Bernoulli polynomials, integration of Rademacher sums.

UDC: 517.521+517.587

Received: 12.03.2012
Revised: 12.03.2012