HARMONIC ANALYSIS Definition & Meaning

harmonic analysis

noun

Mathematics.

the calculation of Fourier series and their generalization.
the study of Fourier series and their generalization.

harmonic analysis

noun

the representation of a periodic function by means of the summation and integration of simple trigonometric functions
the study of this means of representation

harmonic analysis

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

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�y��vlog History and Origins

Origin of harmonic analysis¹

First recorded in 1865–70

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Example Sentences

Examples have not been reviewed.

Modulations can make harmonic analysis much more challenging, so try to become comfortable analyzing easier pieces before tackling pieces with modulations.

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Dr. Flores studies mathematical physics, partial differential equations, and harmonic analysis, so it is fitting that the theorem she chose to share on the podcast has a physics flavor.

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Inspired by subsequent developments in Galois’s theory, Langlands’ approach allowed researchers to translate algebra problems into the ‘language’ of harmonic analysis, the branch of mathematics that breaks complex waveforms down into simpler, sinusoidal building blocks.

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Thomson, D. J. Spectrum estimation and harmonic analysis.

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Geometric diffusions as a tool for harmonic analysis and structure definition of data: diffusion maps.

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