Fourier Analysis

Fourier analysis is a mathematical technique used to decompose complex signals into simpler, constituent frequencies, enabling efficient analysis and manipulation of data across diverse fields. Current research focuses on extending Fourier methods to non-traditional domains, such as quantum systems, spherical geometries, and graphs, and integrating them with machine learning models like neural networks for tasks ranging from image processing and medical image analysis to action recognition and robotic control. These advancements improve model efficiency, interpretability, and robustness, impacting various scientific disciplines and leading to more powerful and efficient algorithms for data analysis and signal processing.