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math.FA2004★ 15 cited
Generalized Integral Operators and Schwartz Kernel Theorem
A. Delcroix
In connection with the classical Schwartz kernel theorem, we show that in the framework of Colombeau generalized functions a large class of linear mappings admit integral kernels.…
math.FA2004★ 13 cited
Remarks on the embedding of spaces of distributions into spaces of Colombeau generalized functions
A. Delcroix
We present some remarks about the embedding of spaces of Schwartz distributions into spaces of Colombeau generalized functions. We show that the various constructions of such embed…