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PRODUCT OF THE GENERALIZED FUNCTIONS ${{x_ - }^{ - k}}$ AND ${\delta ^{\left( p \right)}}\left( x \right)$ IN COLOMBEAU ALGEBRA
2022
International Journal of Applied Mathematics
Preserved Fulltext
In this paper the product of the distributions x − −k and δ (p) (x) is derived. The result is obtained in Colombeau algebra of generalized functions which contains the space of Schwartz distributions as a subspace and has a notion of 'association' that allows us to evaluate the results in terms of distributions.
doi:10.12732/ijam.v35i1.11
fatcat:kbynaeie2jf5pgeyhywn7bujoy