most citedTopological structures in Colombeau algebras: topological $\widetilde{\C}$-modules and duality theory

3 citations · 4 across the 5 of their papers we have counts for

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math.AP2005

Pseudo-differential operators in algebras of generalized functions and global hypoellipticity

Claudia Garetto

The aim of this work is to develop a global calculus for pseudo-differential operators acting on suitable algebras of generalized functions. In particular, a condition of global hy…

math.AP2004★ 1 cited

Microlocal analysis of generalized functions: pseudodifferential techniques and propagation of singularities

Claudia Garetto, Guenther Hoermann

We characterize microlocal regularity of Colombeau generalized functions by an appropriate extension of the classical notion of micro-ellipticity to pseudodifferential operators wi…