T. Todorov

most citedFull Algebra of Generalized Functions and Non-Standard Asymptotic Analysis

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2008

A Lost Theorem: Definite Integrals in Asymptotic Setting

Ray Cavalcante, Todor D. Todorov

We present a simple yet rigorous theory of integration that is based on two axioms rather than on a construction involving Riemann sums. With several examples we demonstrate how to…

math.HO2007

Exponentiating $2 \times 2$ and $3 \times 3$ Matrices Done Right

Angel P. Popov, Todor D. Todorov

We derive explicit formulas for calculating $e^{A}$ , $cosh A$ , $sinh A, cos A$ and $sin A$ for a given $2 \times 2$ matrix $A$ . We also derive explicit formulas for $e^{A}$ for a…

math.FA2007★ 1 cited

Full Algebra of Generalized Functions and Non-Standard Asymptotic Analysis

Todor D. Todorov, Hans Vernaeve

We construct an algebra of generalized functions endowed with a canonical embedding of the space of Schwartz distributions. We offer a solution to the problem of multiplication of…

A Lost Theorem: Definite Integrals in Asymptotic Setting

Exponentiating 2×2 and 3×3 Matrices Done Right

Full Algebra of Generalized Functions and Non-Standard Asymptotic Analysis

Exponentiating $2 \times 2$ and $3 \times 3$ Matrices Done Right