Turkish Journal of Mathematics
Abstract
Gelfand and Shilov give the definition of the composition δ(g(x)) for an infinitely differentiable function g(x) having any number of simple roots. In the paper, we consider their definition for an infinitely differentiable function having any number of multiple roots by using the method of the discarding of unwanted infinite quantities from asymptotic expansions and give some examples. Further, we define the compositions δ(g+) and δ(g−) for a locally summable function g(x).
DOI
10.55730/1300-0098.3506
Keywords
Regular sequence, divergent integral, Hadamard's finite part, distribution, neutrices, Dirac-delta function
First Page
279
Last Page
295
Recommended Citation
ÖZÇAĞ, EMİN
(2024)
"An extension of the definition on the compositions of the singular distributions,"
Turkish Journal of Mathematics: Vol. 48:
No.
2, Article 12.
https://doi.org/10.55730/1300-0098.3506
Available at:
https://journals.tubitak.gov.tr/math/vol48/iss2/12
