Home
This Title All WIREs
WIREs RSS Feed
How to cite this WIREs title:
WIREs Comp Stat

Harmonic analysis

Full article on Wiley Online Library:   HTML PDF

Can't access this content? Tell your librarian.

Abstract Harmonic analysis is the foundation for much of modern mathematical analysis. Based on the idea of breaking up an arbitrary function into simple component functions, harmonic analysis has become a powerful and pervasive part of mathematics. Image processing, signal compression, partial differential equations, control theory, and many other essential parts of engineering and applied mathematics are studied using aspects of harmonic analysis. Fourier series, Fourier transforms, pseudodifferential operators, and wavelets are all aspects of the subject that find application to real‐world problems. The subject of this article acquaints the reader with the fundamental components of this type of analysis. Minimal background is required to come away with an appreciation of the power and diversity of the methodology. WIREs Comp Stat 2011 3 163–167 DOI: 10.1002/wics.143 This article is categorized under: Data: Types and Structure > Time Series, Stochastic Processes, and Functional Data

An insulated rod.

[ Normal View | Magnified View ]

The wavelet function ψ for the Haar basis.

[ Normal View | Magnified View ]

Browse by Topic

Data: Types and Structure > Time Series, Stochastic Processes, and Functional Data

Access to this WIREs title is by subscription only.

Recommend to Your
Librarian Now!

The latest WIREs articles in your inbox

Sign Up for Article Alerts