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math.FA2018
Generalized solutions of variational problems and applications
Vieri Benci, Lorenzo Luperi Baglini, Marco Squassina
Ultrafunctions are a particular class of generalized functions defined on a hyperreal field that allow to solve variational problems with no class…
math.FA2015
The category of Colombeau algebras
Lorenzo Luperi Baglini, Paolo Giordano
In [11], we introduced the notion of asymptotic gauge (AG), and we used it to construct Colombeau AG-algebras. This construction concurrently generalizes that of many different alg…