ON WEIGHTED GENERALIZED FUNCTIONS ASSOCIATED WITH QUADRATIC FORMS

Journal Title: Проблемы анализа-Issues of Analysis - Year 2016, Vol 5, Issue 2

Abstract

In this article we consider certain types of weighted generalized functions associated with nondegenerate quadratic forms. Such functions and their derivatives are used for constructing fundamental solutions of iterated ultra-hyperbolic equations with the Bessel operator and for constructing negative real powers of ultra-hyperbolic operators with the Bessel operator.

Authors and Affiliations

E. L. Shishkina

Keywords

Related Articles

Sufficient conditions of α-accessibility of domain in nonsmooth case

В работе существенно усилен результат, полученный в [1], где для непрерывной функции F(х), дифференцируемой по направлениям в R n\{0} были получены условия альфа-достижимости области, определяемой неравенством F(х)<0. По...

REDUCED p-MODULUS, p-HARMONIC RADIUS AND p-HARMONIC GREEN’S MAPPINGS

We consider the definitions and properties of the metric characteristics of the spatial domains previously introduced by the author, and their connection with the class of mappings, the particular case of which are the h...

INEQUALITIES OF HERMITE-HADAMARD TYPE FOR HG-CONVEX FUNCTIONS

Some inequalities of Hermite-Hadamard type for HGconvex functions defined on positive intervals are given. Applications for special means are also provided.

ON CONTIGUITY RELATIONS FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS

We derive formulas that generalize contiguity relations of Gauss hypergeometric functions to the case of hypergeometric functions satisfying differential equations of arbitrary order and also of solution matrices of thei...

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...

Download PDF file
  • EP ID EP225110
  • DOI 10.15393/j3.art.2016.3390
  • Views 91
  • Downloads 0

How To Cite

E. L. Shishkina (2016). ON WEIGHTED GENERALIZED FUNCTIONS ASSOCIATED WITH QUADRATIC FORMS. Проблемы анализа-Issues of Analysis, 5(2), 52-68. https://europub.co.uk./articles/-A-225110