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Abstract
An operational calculus is developed that is based on convolution of polynomials in the complex plane. The final objects of study, called operators, are shown to be just formal Laurent series. This work is based on ideas of Mikusinski's operational calculus, but is much simpler, especially because no recourse is needed to the Titchmarsh convolution theorem. Neverthelse this operational calculus is rich in applications, and seems to encompas operators that are not included in other theories