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Harmonic Analysis | Open Access Journals
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Journal of Applied & Computational Mathematics

ISSN: 2168-9679

Open Access

Harmonic Analysis

Harmonic analysis is a branch of mathematics, which includes theories of trigonometric series (Fourier Series), Fourier transformations, function approximation by trigonometric polynomials, almost periodic functions, and also generalization of these notions in connection with general problems of the theory of functions and functional analysis. Harmonic analysis is a diverse field including such branches as Fourier series, isospectral manifolds (hearing the shape of a drum), and topological groups. Signal processing, medical imaging, and quantum mechanics are three of the fields that use harmonic analysis extensively. However, with the periodic functions found in nature, the function can be expressed as the sum of a number of sine and cosine terms.

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