👉 Ch Math, or Continuous Harmonic Analysis, is a branch of mathematics that extends classical harmonic analysis to continuous settings, focusing on the study of functions and operators on infinite-dimensional spaces, particularly those arising in signal processing and partial differential equations. It generalizes the Fourier transform to functions defined on compact groups or more generally, locally compact groups, by considering their Fourier transforms as continuous characters. This approach allows for a deeper understanding of the spectral properties and behavior of linear operators on these spaces, bridging gaps between classical Fourier analysis and modern applications in areas like quantum mechanics and signal processing. Ch Math provides powerful tools for analyzing periodic and non-periodic phenomena in continuous domains, making it a fundamental tool in theoretical and applied mathematics.
