# Parseval's theorem

From AMS Glossary

Revision as of 19:34, 25 April 2012 by Perlwikibot (Talk | contribs)

## Parseval's theorem

A theorem relating the product of two functions to the products of their Fourier series components.

If the functions are There is an analogous theorem for Fourier transforms.

*f*(*x*) and*F*(*x*), and their Fourier series components have respective amplitudes*a*_{n},*b*_{n}and*A*_{n},*B*_{n}, Parseval's theorem states that under certain general conditions