12 citations · 33 across the 11 of their papers we have counts for
Showing math.GMShow all
2 papers · 1 filter
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.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…