An elementary purely algebraic approach to generalized functions and operational calculus
Classical Analysis and ODEs
2016-05-09 v1
Abstract
The space of Schwartz distributions of finite order is represented as a factor space of the space of, what we call, Mikusinski functions. The point of Mikusinski functions is that they admit a multiplication by convergent Laurent series. It is shown that this multiplication provides a natural simple basis for Heaviside's operational calculus.
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Cite
@article{arxiv.1605.02050,
title = {An elementary purely algebraic approach to generalized functions and operational calculus},
author = {Vakhtang Lomadze},
journal= {arXiv preprint arXiv:1605.02050},
year = {2016}
}
Comments
6 pages