Harmonic analysis

Harmonic analysis is a branch of mathematics that studies the representation of functions or signals as the superposition of basic waves, often referred to as harmonics. It encompasses a variety of techniques and theories used to analyze functions in terms of their frequency components. Key aspects of harmonic analysis include: 1. **Fourier Series**: This involves expressing periodic functions as sums of sines and cosines. The Fourier coefficients provide a way to compute how much of each harmonic is present in the original function.