4 citations · 26 across the 25 of their papers we have counts for
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Quasinormable Fréchet spaces and M. W. Wong's inequality
Eduard A. Nigsch, Norbert Ortner
A short proof of M. W. Wong's inequality is given.
Projective descriptions of spaces of functions and distributions
Christian Bargetz, Eduard A. Nigsch, Norbert Ortner
We present projective descriptions of classical spaces of functions and distributions. More precisely, we provide descriptions of these spaces by semi-norms which are defined by a…
Sequence space representations for spaces of smooth functions and distributions via Wilson bases
Christian Bargetz, Andreas Debrouwere, Eduard A. Nigsch
We provide explicit sequence space representations for the test function and distribution spaces occurring in the Valdivia-Vogt structure tables by making use of Wilson bases gener…
A nonlinear theory of distributional geometry
Eduard A. Nigsch, James A. Vickers
This paper builds on the theory of generalised functions begun in [1]. The Colombeau theory of generalised scalar fields on manifolds is extended to a nonlinear theory of generalis…
Nonlinear generalised functions on manifolds
Eduard A. Nigsch, James A. Vickers
This paper lays the foundations for a nonlinear theory of differential geometry that is developed in a subsequent paper which is based on Colombeau algebras of tensor distributions…
On the space of Laplace transformable distributions
Andreas Debrouwere, Eduard A. Nigsch
We show that the space of Laplace transformable distributions, where is a non-empty convex open set, is an ultrabornological (PLS)-space…