From Glossary of Meteorology
Revision as of 17:34, 25 April 2012 by imported>Perlwikibot
A theorem relating the product of two functions to the products of their Fourier series components.
If the functions are f(x) and F(x), and their Fourier series components have respective amplitudes an, bn and An, Bn, Parseval's theorem states that under certain general conditions
There is an analogous theorem for Fourier transforms.
Copyright 2022 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact email@example.com. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.