12 citations · 32 across the 9 of their papers we have counts for
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math.GM2006
Homogeneity in generalized function algebras
Clemens Hanel, Eberhard Mayerhofer, Stevan Pilipovic +1
We investigate homogeneity in the special Colombeau algebra. It is shown that strongly scaling invariant functions on the d-dimensional space are simply the constants. On the pierc…
math-ph2006★ 1 cited
On Lorentz geometry in algebras of generalized functions
Eberhard Mayerhofer
We introduce a concept of causality in the framework of generalized pseudo-Riemannian Geometry in the sense of J.F. Colombeau and establish the inverse Cauchy-Schwarz inequality in…
math.GM2006★ 8 cited
Spherical completeness of the non-archimedean ring of Colombeau generalized numbers
Eberhard Mayerhofer
We show spherical completeness of the ring of Colombeau generalized real (or complex) numbers endowed with the sharp norm. As an application, we establish a Hahn Banach extension t…