most citedGeneralized analytic functions on generalized domains

8 citations · 10 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2008★ 1 cited

Banach -algebras

Hans Vernaeve

We study Banach -algebras, i.e., complete ultra-pseudo-normed algebras over the ring of Colombeau generalized complex numbers. We dev…

math.FA2008★ 8 cited

Generalized analytic functions on generalized domains

Hans Vernaeve

We define the algebra of Colombeau generalized functions on a subset A of the space of d-dimensional generalized points. If the domain A is open, such generalized functions can be…

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…