Spectra of fuzzy sets of $S^1$
Vittorio Cafagna, Gianluca Caterina
TL;DR
This paper investigates Fourier analysis techniques applied to fuzzy sets on the circle, contributing to the mathematical understanding of spectral properties in fuzzy set theory.
Contribution
It introduces new spectral analysis methods for fuzzy sets on the unit circle, expanding the theoretical framework of Fourier analysis in fuzzy set contexts.
Findings
Developed spectral analysis tools for fuzzy sets on S^1
Extended Fourier analysis to fuzzy set theory
Provided mathematical insights into fuzzy spectral properties
Abstract
In this article we explore some aspects of Fourier analysis on fuzzy sets. This work was part of a broader project jointly with Professor Vittorio Cafagna which spanned over a few years between 1998 and 2005. Professor Cafagna passed away unexpectedly in 2007. His intellectual breadth and inspiring passion for mathematics is still very well alive today.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Computability, Logic, AI Algorithms · Quantum chaos and dynamical systems