 ##  [Harmonic Analysis](/harmonic-analysis) 

  ##  [Harmonic Analysis](https://puremath.quantumdictionary.io/harmonic-analysis-0) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

The study of functions, operators, and signals through decomposition into basic oscillatory components (Fourier series, Fourier transform, characters of groups) and the analysis of related operators (convolutions, singular integrals, multipliers) across function spaces.

 
 ##  [Harmonic Analysis](https://engineering.quantumdictionary.io/harmonic-analysis-1) 

  
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**Engineering &amp; Applied Technologies Dictionary**

 
Definition

A set of signal-processing and diagnostic methods that decompose electrical waveforms into frequency components (harmonics and interharmonics), quantify their amplitudes and phases (e.g., via Fourier or time–frequency techniques), and use those measurements to assess power quality impacts and to design mitigation measures.