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harmonic analysis
(redirected from Fourier theory)

   Also found in: Dictionary/thesaurus, Wikipedia 0.02 sec.
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.


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Another essential development in the science of x-ray crystallography was the invention by the French mathematician Fourier of what has come to be known as modern harmonic analysis, or Fourier theory.
The authors start with an overview of differential and difference equations and then cover characterization and classification, Fourier theory, distributions and fundamental solutions, approximation by finite differences, the equations of continuum mechanics and electromagnetics and modeling.
They provide comparison of the main interferometric systems and review the underlying Fourier theory.
 
 
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Fourier integral
Fourier integrals
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Fourier Method
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Fourier modes
Fourier modes
Fourier number
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Fourier Path Integral Monte Carlo
Fourier Self Deconvolution
Fourier series
Fourier series
Fourier Series Analysis
Fourier Series Representation
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Fourier Transform InfraRed
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Fourier Transform Infrared Reflection Absorption Spectroscopy
Fourier Transform Infrared Spectrometer
Fourier Transform Infrared Spectroscopy
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Fourier Transform Ion Cyclotron Resonance Mass Spectrometry
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