42 citations · 42 across the 4 of their papers we have counts for
4 papers
An Embedding of Schwartz Distributions in the Algebra of Asymptotic Functions
M. Oberguggenberger, T. Todorov
We present a solution of the problem of multiplication of Schwartz distributions by embedding the space of distributions into a differential algebra of generalized functions, calle…
Generalized stochastic processes revisited
Michael Oberguggenberger
The paper addresses the question whether a random functional, a map from a set into the space of real-valued measurable functions on a probability space, has a measurable versi…
Internal sets and internal functions in Colombeau theory
M. Oberguggenberger, H. Vernaeve
Inspired by nonstandard analysis, we define and study internal subsets and internal functions in algebras of Colombeau generalized functions. We prove a saturation principle for in…
Group analysis of differential equations and generalized functions
Michael Kunzinger, Michael Oberguggenberger
We present an extension of the methods of classical Lie group analysis of differential equations to equations involving generalized functions (in particular: distributions). A suit…