2005/05/10 by Séverine Bernard, Bernard, Séverine, Jean-François Colombeau +3
Mathematics · #45P05 #46F05 #46F12 #46F30 #47G10 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #General Mathematics (math.GM) #Mathematical and Theoretical Analysis #math.GM #msc:45P05 #msc:46F05 #msc:46F12 #msc:46F30 #msc:47G10
paper · pdf · doi:10.48550/arxiv.math/0505179
To appear in the Proceeding of GF2004 in ITSF (8 pages)
arxiv created 2005/05/10 · openalex publication_date 2005/05/10 · arxiv updated 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We extend the theory of distributional kernel operators to a framework of generalized functions, in which they are replaced by integral kernel operators. Moreover, in contrast to the distributional case, we show that these generalized integral operators can be composed unrestrictedly. This leads to the definition of the exponential of a subclass of such operators.