1 citations · 1 across the 6 of their papers we have counts for
6 papers
Multiplication of Distributions and Nonperturbative Calculations of Transition Probabilities
J. Aragona, P. Catuogno, J. F. Colombeau +2
In a mathematical context in which one can multiply distributions the "`formal"' nonperturbative canonical Hamiltonian formalism in Quantum Field Theory makes sense mathematically,…
Locally convex topological algebras of generalized functions: compactness and nuclearity in a nonlinear context
J. Aragona, J. F. Colombeau, S. O. Juriaans
In this paper we introduce Hausdorff locally convex algebra topologies on subalgebras of the whole algebra of nonlinear generalized functions. These topologies are strong duals of…
Colombeau's Algebra of full Generalized Numbers
Jorge Aragona, Antonio Ronaldo Gomes Garcia, Stanley Orlando Juriaans
Let $\bar{\Kset}_f$ denote the commutative unital ring of Colombeau's full generalized numbers. This ring can be endowed with an ultra-metric in such a way that it becomes a topolo…
Differential Calculus and Integration of Generalized Functions over Membranes
J. Aragona, R. Fernandez, S. O. Juriaans +1
In this paper we continue the development of the differential calculus started by Aragona-Ferandez-Juriaans. Guided by the topology introduced recently by those authors we introduc…
Generalized Solutions of a Nonlinear Parabolic Equation with Generalized Functions as Initial Data
Jorge Aragona, Antonio Ronaldo Gomes Garcia, Stanley Orlando Juriaans
In \cite{bf} Brézis and Friedman prove that certain nonlinear parabolic equations, with the -measure as initial data, have no solution. However in \cite{cl} Colombeau and Langla…
Natural Topologies on Colombeau Algebras
J. Aragona, R. Fernandez, S. O. Juriaans
We define natural topologies on the Colombeau algebras which are compatible with the algebraic structure. These topologies reduces do Scarpalezos sharp topologies when restricted.…