harmonic analysis

n. The study of functions given by a Fourier series or analogous representations, such as periodic functions and functions on topological groups.

harmonic analysis

n 1. (Mathematics) the representation of a periodic function by means of the summation and integration of simple trigonometric functions 2. (Mathematics) the study of this means of representation

harmon′ic anal′ysis

n. the calculation or study of Fourier series and their generalization. [1865–70]

Thesaurus

Noun

harmonic analysis - analysis of a periodic function into a sum of simple sinusoidal componentsFourier analysisanalysis - a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation

Translations

analisi in serie di funzioni

harmonic analysis

[här′man·ik ə′nal·ə·səs] (mathematics) A study of functions by attempting to represent them as infinite series or integrals which involve functions from some particular well-understood family; it subsumes studying a function via its Fourier series. (physics) Any method of identifying and evaluating the harmonics that make up a complex waveform of sound pressure, voltage, current, or some other varying quantity.

harmonic analysis