Phrase guide

harmonic analysis

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

A study of the representation of functions or signals as the superposition of basic waves, involving the notions of harmonic functions, trigonometric series, Fourier series, Fourier transforms, almost periodic functions, and others.

Definition source: English Wiktionary via Wiktextract

Usage: uncountable

Topics: mathematical-analysis, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

analysis of a periodic function into a sum of simple sinusoidal components

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: Fourier analysis

Antonyms: none provided

Broader terms: analysis

History

Etymology

No etymology was provided for this word.

Across languages

Translations

9 source translations are retained for this English entry.

  • Finnish: harmoninen analyysi — a branch of mathematics
  • French: analyse harmonique — a branch of mathematics
  • German: harmonische Analyse — a branch of mathematics
  • Hungarian: harmonikus analízis — a branch of mathematics
  • Icelandic: sveiflugreining — a branch of mathematics
  • Icelandic: Fourier-greining — a branch of mathematics
  • Italian: analisi armonica — a branch of mathematics
  • Japanese: 調和解析 — a branch of mathematics
  • Polish: analiza harmoniczna — a branch of mathematics