117 citations · 882 across the 65 of their papers we have counts for
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math.FA2014
A convenient notion of compact set for generalized functions
Paolo Giordano, Michael Kunzinger
We introduce the notion of functionally compact sets into the theory of nonlinear generalized functions in the sense of Colombeau. The motivation behind our construction is to tran…
math.FA2014
Strongly internal sets and generalized smooth functions
Paolo Giordano, Michael Kunzinger, Hans Vernaeve
Based on a refinement of the notion of internal sets in Colombeau's theory, so-called strongly internal sets, we introduce the space of generalized smooth functions, a maximal exte…