In this article, we explore some aspects of Fourier analysis on fuzzy sets. In particular, we give a complete characterization of the Fourier coefficients of fuzzy subsets of the unit circle. The main result hinges on a theorem by the Italian mathematician Aldo Ghizzetti. This work was part of a broader project jointly with Professor Vittorio Cafagna, who, sadly, passed away unexpectedly in 2007. His intellectual breadth and inspiring passion for mathematics still keeps shining today.
Caterina, G. and Cafagna, V. (2020). A note on a theorem by Aldo Ghizzetti. Iranian Journal of Fuzzy Systems, 17(6), 17-27. doi: 10.22111/ijfs.2020.5598
MLA
Caterina, G. , and Cafagna, V. . "A note on a theorem by Aldo Ghizzetti", Iranian Journal of Fuzzy Systems, 17, 6, 2020, 17-27. doi: 10.22111/ijfs.2020.5598
HARVARD
Caterina, G., Cafagna, V. (2020). 'A note on a theorem by Aldo Ghizzetti', Iranian Journal of Fuzzy Systems, 17(6), pp. 17-27. doi: 10.22111/ijfs.2020.5598
CHICAGO
G. Caterina and V. Cafagna, "A note on a theorem by Aldo Ghizzetti," Iranian Journal of Fuzzy Systems, 17 6 (2020): 17-27, doi: 10.22111/ijfs.2020.5598
VANCOUVER
Caterina, G., Cafagna, V. A note on a theorem by Aldo Ghizzetti. Iranian Journal of Fuzzy Systems, 2020; 17(6): 17-27. doi: 10.22111/ijfs.2020.5598
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