Generalized Fourier series
id:
generalized-fourier-series-204-12719502
title:
Generalized Fourier series
text:
A generalized Fourier series is the expansion of a square integrable function into a sum of square integrable orthogonal basis functions. The standard Fourier series uses an orthonormal basis of trigonometric functions, and the series expansion is applied to periodic functions. In contrast, a generalized Fourier series uses any set of orthogonal basis functions and can apply to any square integrable function.
brand slug:
wiki
category slug:
encyclopedia
description:
Decompositions of inner product spaces into orthonormal bases
original url:
https://en.wikipedia.org/wiki/Generalized_Fourier_series
date created:
2003-06-13T17:53:17Z
date modified:
2024-09-10T07:54:46Z
main entity:
{"identifier":"Q5532436","url":"https://www.wikidata.org/entity/Q5532436"}
image:
fields total:
13
integrity:
15