9 citations · 32 across the 10 of their papers we have counts for
10 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,…
Generalized solutions of the stochastic Burgers equation
P. Catuogno, J. F. Colombeau, C. Olivera
We introduce a new concepts of weak solution for the conservative stochastic Burgers equation in any dimension. The definition is based on weak solution concepts introduced by vari…
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…
Nonlinear Generalized Functions: their origin, some developments and recent advances
Jean François Colombeau
We expose some simple facts at the interplay between mathematics and the real world, putting in evidence mathematical objects " nonlinear generalized functions" that are needed to…
Topics on nonlinear generalized functions
J. F. Colombeau
The aim of this paper is to give the text of a recent introduction to nonlinear generalized functions exposed in my talk in the congress gf2011, which was asked by several particip…
The Heisenberg-Pauli canonical formalism of quantum field theory in the rigorous setting of nonlinear generalized functions (Part I)
Jean-Francois Colombeau, Andre Gsponer
The unmodified Heisenberg-Pauli canonical formalism of quantum field theory applied to a self-interacting scalar boson field is shown to make sense mathematically in a framework of…