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• W2228764748 abstract "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 transfer, as far as possible, properties enjoyed by standard smooth functions on compact sets into the framework of generalized functions. Based on this concept, we introduce spaces of compactly supported generalized smooth functions that are close analogues to the test function spaces of distribution theory. We then develop the topological and functional analytic foundations of these spaces." @default.
• W2228764748 created "2016-06-24" @default.
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• W2228764748 date "2014-11-26" @default.
• W2228764748 modified "2023-09-27" @default.
• W2228764748 title "A convenient notion of compact set for generalized functions" @default.
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