14 citations · 20 across the 3 of their papers we have counts for
3 papers
Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients
Guenther Hoermann, Michael Oberguggenberger, Stevan Pilipovic
We investigate microlocal properties of partial differential operators with generalized functions as coefficients. The main result is an extension of a corresponding (microlocalize…
Algebras of generalized functions through sequence spaces algebras. Functoriality and associations
Antoine Delcroix, Maximilian F. Hasler, Stevan Pilipović +1
Starting from a description of various generalized function algebras based on sequence spaces, we develop the general framework for considering linear problems with singular coeffi…
Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces
Antoine Delcroix, Maximilian F. Hasler, Stevan Pilipović +1
In a recent paper, we gave a topological description of Colombeau type algebras introducing algebras of sequences with exponential weights. Embeddings of Schwartz' spaces into the…