Dennis Nemzer, "Operational calculus and differential equations with infinitely smooth coefficients", International Journal of Mathematics and Mathematical Sciences, vol. 13, Article ID 565843, 6 pages, 1990. https://doi.org/10.1155/S0161171290000618
Operational calculus and differential equations with infinitely smooth coefficients
A subring of the field of Mikusiński operators is constructed as a countable union space. Some topological properties of are investigated. Then, the product of an infinitely differentiable function and an element of is given and is used to investigate operational equations with infinitely smooth coefficients.
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