Distributions pp 237-270 | Cite as

Fourier Series

Part of the Cornerstones book series (COR)


The theory of Fourier series is a far-reaching analog of writing \(x \in \mathbf {\rm R}^n {\rm{as}}\ x = \sum\limits_{j = 1}^n {\left\langle {x,e_j } \right\rangle } e_j,\) the decomposition of a vector into a sum of projections along the vectors e j, which form a complete system of orthonormal vectors \((e_1,...,e_n )\ {\rm in\ \mathbf R}^n.\)


Fourier Series Moderate Growth Summation Formula Poisson Kernel Periodic Distribution 


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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Mathematical InstituteUtrecht UniversityUtrechtThe Netherlands

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