A note on a theorem by Aldo Ghizzetti
Publish place: Iranian Journal of Fuzzy Systems، Vol: 17، Issue: 6
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-17-6_003
تاریخ نمایه سازی: 30 خرداد 1400
Abstract:
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 ۲۰۰۷. His intellectual breadth and inspiring passion for mathematics still keeps shining today.
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Authors
G. Caterina
Department of Mathematics, Endicott College, Beverly MA, U.S.A.
V. Cafagna
Dipartimento di Matematica, Universita degli Studi di Salerno, Salerno, Italy