Teoría espectral

The Teoría espectral, or spectral theory, is a branch of mathematics that studies how complex systems can be broken down into simpler, fundamental components called "spectra," much like how white light can be separated into its rainbow colors. It primarily focuses on analyzing operators—mathematical objects that act on functions or data—to understand their behavior by examining their eigenvalues and eigenvectors. This approach allows mathematicians and scientists to solve differential equations, analyze signals, and understand quantum systems by interpreting complex phenomena through their basic spectral elements.