Jorge Aragona

Natural Topologies on Colombeau Algebras

We define intrinsic, natural and metrizable topologies

Colombeau's theory and shock waves in a problem of hydrodynamics

{\mathcal T}_{\Omega}

The sharp topology on the full Colombeau algebra of generalized functions

,

Locally convex topological algebras of generalized functions: Compactness and nuclearity in a nonlinear context

{\mathcal T}

Holomorphically Significant Properties of Spaces of Holomorphic Germs

,

On the Hilbert transform in the framework of generalized functions

{\mathcal T}_{s,\Omega}

Some results on holomorphic generalized functions

and

A Discontinuous Colombeau Differential Calculus

{\mathcal T}_s

Differential calculus and integration of generalized functions over membranes

in

Generalized solutions of a nonlinear parabolic equation with generalized functions as initial data

{\mathcal G}(\Omega)