About a structure of exponential monomials on some locally compact abelian groups

Journal Title: Проблемы анализа-Issues of Analysis - Year 2012, Vol 1, Issue 1

Abstract

We describe the structure of some class of exponential monomials on some locally compact abelian groups. The main result of the paper is the next theorem.

Authors and Affiliations

S. S. Platonov

Keywords

Related Articles

INEQUALITIES CONNECTING GENERALIZED TRIGONOMETRIC FUNCTIONS WITH THEIR INVERSES

Motivated by the recent work [1], in this paper we study the relations of generalized trigonometric and hyperbolic functions of two parameters with their inverse functions.

WILKER AND HUYGENS-TYPE INEQUALITIES INVOLVING GUDERMANNIAN AND THE INVERSE GUDERMANNIAN FUNCTIONS

Five Wilker Huygens-type inequalities involving Gudermannian and the inverse Gudermannian functions are obtained. The Schwab-Borchardt mean plays a crucial role in the proofs. Also, an analytical inequality for the sums...

The solution of a mixed boundary value problem for the Laplace equation in a multiply connected domain

Here we apply the Cauchy integral method for the Laplace equation in multiply connected domains when the data on each boundary component has the form of the Dirichlet condition or the form of the Neumann condition. This...

THE THEOREM ON EXISTENCE OF SINGULAR SOLUTIONS TO NONLINEAR EQUATIONS

The aim of this paper is to present some applications of pregularity theory to investigations of nonlinear multivalued mappings. The main result addresses to the problem of existence of solutions to nonlinear equations i...

О ХАУСДОРФОВОЙ МЕРЕ ОДНОРОДНОГО ТРЕУГОЛЬНОГО (С, θ)-КОВРА СЕРПИНСКОГО

В работе рассматривается однородный треугольный (с,θ)-ковер Серпинского. Для значений параметра с ⊂(0,1/3] при θ⊂(π/3, π) получено точное значение хаусдорфовой s-меры, а при θ⊂(0, π/3] её оценка.

Download PDF file
  • EP ID EP234569
  • DOI 10.15393/j3.art.2012.1661
  • Views 113
  • Downloads 0

How To Cite

S. S. Platonov (2012). About a structure of exponential monomials on some locally compact abelian groups. Проблемы анализа-Issues of Analysis, 1(1), 3-14. https://europub.co.uk/articles/-A-234569