Functions and Analysis

1304 Submissions

[4] viXra:1304.0158 [pdf] replaced on 2023-03-24 21:18:56

Products of Generalised Functions

Authors: Vincenzo Nardozza
Comments: 15 Pages.

An elementary algebra of products of generalised functions is constructed. A way of multiplying the defined generalised functions with polynomials is also given. The theory is given for single-variable functions but it can be easily generalised to the multi-variable case.
Category: Functions and Analysis

[3] viXra:1304.0151 [pdf] replaced on 2013-04-28 14:30:03

Heuristic Study of the Concept of pq-Radial Functions as a New Class of Potentials

Authors: M.E.Hassani
Comments: 20 Pages; 7 References

The main purpose of the present paper is the heuristic study of the structure, properties and consequences of new class of potential functions results from the concept of pq-Radial functions which are fundamental family of solutions of second order pq-PDE.
Category: Functions and Analysis

[2] viXra:1304.0138 [pdf] submitted on 2013-04-24 17:00:58

Dynamical Systems Determinable by Discrete Samples

Authors: Ovidiu Ilie ŞANDRU, Luige VLĂDĂREANU, Alexandra ŞANDRU
Comments: 8 Pages.

In this paper we shall define and study an important class of dynamic systems which allow to effectively determine their mathematical model exclusively on experimental basis. The usefulness of these results of mathematical nature, obtained by extending the Whittaker-Shannon sampling theory, will be highlighted through an applied example from the field of optoelectronics.
Category: Functions and Analysis

[1] viXra:1304.0137 [pdf] submitted on 2013-04-24 17:02:49

Invertible Dynamic Systems

Authors: Ovidiu Ilie ŞANDRU, Luige VLĂDĂREANU, Alexandra ŞANDRU
Comments: 4 Pages.

In this paper we introduce the notion of invertible dynamic system, we indicate a very general method to determine the inverse of such a system and we give evidence of the numerous applications of the subclass of dynamic systems defined by this notion.
Category: Functions and Analysis