3 papers
math-ph2022
Axiomatic field theory and Hida-Colombeau algebras
Alexei Filinkov, Ian G. Fuss
An axiomatic quantum field theory applied to the self-interacting boson field is realised in terms of generalised operators that allows us to form products and take derivatives of…
math.FA2021
On the composition of integral operators acting in tempered Colombeau algebras
Alexei Filinkov, Ian Fuss
We show that the generalised composition of generalised integral operators is well defined on the space Colombeau algebras of tempered generalised functions.
math-ph2014
An introduction to generalised functions in periodic quantum theory
Ian G Fuss, Alexei Filinkov
A proof that minimum uncertainty states of the simplest periodic quantum system exist in a state space that is represented by a Colombeau algebra of generalised functions but not i…