2002/03/17 by B. P. Damyanov, Blagovest Damyanov, Damyanov, B. P.
Arts and Humanities · Mathematics · #46F10 #46F30 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical and Theoretical Analysis #Philosophy and History of Science #Probability and Statistical Research #math.FA #msc:46F10 #msc:46F30
paper · pdf · doi:10.48550/arxiv.math/0203166
14 pages
arxiv created 2002/03/17 · openalex publication_date 2002/03/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Results on products of the distributions x±a and \de(p)(x) with coinciding singularities are derived when the products are balanced so that they exist in the distribution space. These results follow the idea of a known result on distributional products published by Jan Mikusiński in 1966. They are obtained in Colombeau algebra \EuScriptG(ℝ) of generalized functions that contains the distribution space and the notion of 'association' in it allows obtaining results in terms of distributions.