Harmonic function—though it may seem an abstract notion—forms the invisible scaffolding that supports most Western tonal music. From the chorales of Johann Sebastian Bach to the bebop‑laden chord ...

Harmonic analysis studies the representation of functions as superpositions of basic waves. At its core, it seeks to understand oscillatory phenomena through tools such as Fourier transforms, singular ...

Harmonic polynomials, constructed as sums of analytic and conjugate-analytic components, present a rich interplay between complex analysis and geometric function theory. Unlike purely analytic ...