On a relation of distribution with series in L2 and logarithmic averages in the case of symmetric jump behavior
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 6
Abstract
Distribution theory has an important role in applied mathematics, that generalizes the classical notion of functions in mathematical analysis. Distributions make it possible to differentiate functions whose derivatives do not exist in the classical sense. Firstly, in the introduction part of this paper we will give some general notations, definitions and results in distribution theory, as analytic representation of distribution, distributional jump behavior, distributional symmetric jump behavior, tempered distributions, formulas for the jump of distributions in terms of Fourier series, tempered derivative and integral. Then in final part we will state two results, the first one has to do on relation of analytic functions in the upper half-plane with some logarithmic averages in the case of symmetric jump behavior and the second one is related to decomposition of tempered distribution to series.
Authors and Affiliations
Shpetim Rexhepi, Halil Snopce, Egzona Iseni, Dashmir Ibishi
Keywords
Related Articles
- EP ID EP651423
- DOI 10.24297/jam.v9i6.2319
- Views 150
- Downloads 0
TENSOR PRODUCT OF INCIDENCE ALGEBRAS
The aim of this work is to study the incidence functions and the tensor product of two incidence algebras. We show that the tensor product of two incidence algebras is an incidence algebra. We believe that...
New variants of the Schroder method for finding zeros of nonlinear equations having unknown multiplicity
There are two aims of this paper, firstly, we define new variants of the Schroder method for finding zeros of nonlinear equations having unknown multiplicity and secondly, we introduce a new formula for approximating mul...
Application of Search Model to Detect Urhobo Names in Niger Delta Region of Nigeria: A Preliminary Study
This paper is designed to determine the accuracy of search words or names from a database using search vector. Generally, database consists of large collection of information. By specifying the search words or names this...
Aanalytical Solution for Motion Around Radiated Varying Mass Body
In this work we will add the radiation pressure effect of varying mass body to the model of varying mass Hamiltonian function, including Periastron effect. The problem was formulated in terms of Delaunay variables. The s...
BEST CO-APPROXIMATIONANDBESTSIMULTANEOUS CO-APPROXIMATION ININTUITIONISTIC FUZZY NORMED LINEARSPACES
The main purpose of this paper is to study the t-best co-approximation and t-best simultaneous co-approximation in intuitionistic fuzzy normed spaces. We develop the theory of t-best co-approximation and t-best sim...