# Functions and Analysis

## 1304 Submissions

[4] **viXra:1304.0158 [pdf]**
*replaced on 2014-01-31 10:13:46*

### Products of Generalised Functions

**Authors:** Vincenzo Nardozza

**Comments:** 16 Pages.

An elementary algebra of products of distributions is constructed. The constructed algebra is equivalent, although less general, of the full Colombeau algebra of generalised functions. However, the loss of generality is compensated by the fact that the new algebra of generalised functions is very convenient for practical calculations. An equivalent relation, among elements of the above algebra, is proposed and a linear space of generalised functions is constructed as a partition space of the elementary algebra with respect to the equivalent relation. The new space of generalized functions is used to prove interesting equalities involving products among elements of D'. A way of multiplying the defined generalised functions with polynomials is also given.

**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