harmonic analysis


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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]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.harmonic analysis - analysis of a periodic function into a sum of simple sinusoidal components
analysis - a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation
References in periodicals archive ?
This is a vibrant research field at the intersection of pure and applied mathematics, Drawing techniques from pde, Geometry, And harmonic analysis as well as generating new research questions inspired by applications.
Among the talks are meaning of "algebra" and "analysis" between two encyclopedias from the Enlightenment to the Great War, classical and new aspects of the domination and factorization of multilinear operators, and semigroups as a tool to develop harmonic analysis for general Laplacians.
The instrument features digital processing that independently determines period, wideband power analysis, harmonic analysis, and waveform analysis without interaction and with a 10-ms data update speed.
Hence harmonic analysis of the nonlinear loads is essential.
Under what assumptions spatial harmonic analysis of the magnetic field of the TL can be made in a cylindrical coordinate system (r, [phi], Y) which Y-axis passes through the center of a circle of minimum radius [r.
He, "Compactly supported tight frames associated with refinable functions," Applied and Computational Harmonic Analysis, vol.
The Simulink based harmonic analysis is already published in the world wide.
Chapter 4 focuses on harmonic analysis of Poeme de l'extase against the backdrop of the accompanying poem written by Scriabin (pp.
In addition the DN26 G3 offers a dedicated speed monitor channel which can also be utilised as a phase reference for harmonic analysis of the vibration signals.
The author writes the process of transposition step-by-step starting first by identifying the key, harmonizing the melody using diatonic chords, analyzing the notes of the melodic line in relation to the chords, and using roman numerals and jazz symbols for the harmonic analysis.
Commutative and noncommutative harmonic analysis and applications; AMS Special Session in Memory of Daryl Geller.