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., & 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
G. Caterina; 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
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
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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