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arXiv · 1605.02050

An elementary purely algebraic approach to generalized functions and operational calculus

Vakhtang Lomadze
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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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Vakhtang Lomadze. 2016-05-06. An elementary purely algebraic approach to generalized functions and operational calculus. https://arxiv.org/abs/1605.02050

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