Examples of convolution products
Abstract
In this work we introduce new types of convolution products on the set of the complex-valued continuous functions defined in [0,∞] and we see that there is a geometrical interpretation. Then we show that the corresponding fields of fractions are isomorphic to the classical field of the Mikusiński operators. The idea of transport of structure is essential in this work.
References
J. Mikusiński, Operational Calculus, PWN and Pergamon Press 1959.
BuchmannH. (1986). Examples of convolution products. Annales Mathematicae Silesianae, 2, 65-72. Retrieved from https://www.journals.us.edu.pl/index.php/AMSIL/article/view/14323
Hans Buchmann
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