Parseval's theorem

Also found in: Wikipedia

0.01 sec.

Parseval's theorem [′pär·sə·vəlz ′thir·əm]

(mathematics)

A theorem that gives the integral of a product of two functions, ƒ(x) andF(x), in terms of their respective Fourier coefficients; if the coefficients are defined byand similarly forF(x), the relationship is

Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content.

?Page tools

Printer friendly
Cite / link

Feedback

Mentioned in	?		References in periodicals archive	?		Encyclopedia browser	?		Full browser	?
No references found			Finally, an application of Parseval's theorem to the inner product in (11), together with (12) and (13) yields (7). Series expansion for functions bandlimited to a ball by Campbell, L. Lorne / Sampling Theory in Signal and Image Processing Applying the Parseval's theorem to the unit function f(x) [equivalent to] with respect to the latter basis, we conclude the well-known identity [summation over (n [member of] Z)] [sinc. On sharp bounds for remainders in multidimensional sampling theorem * by Olenko, A. Ya.; Pogany, T.K. / Sampling Theory in Signal and Image Processing			Parry Channel Parry Islands Parry Sound Parry, Charles Hubert Hastings Parry, Milman Parry, Sir William Edward Parry, William Edward Pars pars anterior pars distalis pars intermedia pars nervosa pars neuralis pars tuberalis Pars Tuglaci parse Parsec Parsees parser parser generator parsettensite Parseval Equality Parseval's equation Parseval's identity Parseval's relation Parseval's theorem Parshall flume Parshandatha Parshin, Georgii Parshin, Georgii Mikhailovich Parshurama Jayanti Parshvanatha Parsi Parsifal parsimony parsing Parsis Parskii, Dmitrii Parskii, Dmitrii Pavlovich parsley parsley oil parsnip parson Parson's Cause parsonage Parsons Parsons Code Parsons, Albert Parsons, Albert Richard Parsons, Betty Parsons, Charles Algernon			Parsee Parsee Parseeism Parseeism Parsees Parsees Parsees Parsely Parsely Parsely PARSEM parser parser parser Parser generator Parser generators Parser generators Parsers Parsers parses parses parses parsettensite Parseval equality Parseval identity Parseval theorem Parseval's equality Parseval's equation Parseval's identity Parseval's relation Parseval's theorem PARSEX PARSF Parsgarda Parsgarda Parsha Parshah Parshall flume Parshandatha Parshin, Georgii Parshin, Georgii Mikhailovich Parshiot Parshoh Parshuram Parshurama Parshurama Jayanti Parshva Parshvanatha Parsi Parsi Parsi Parsi (ethnic group) Parsi (ethnic group) Parsi People Parsi People Parsible Character Data Parsifal Parsifal Parsifal (opera) Parsifal (opera) Parsifal Interface Definition Language

Encyclopedia

Free Tools:	For surfers: Free toolbar & extensions \| Word of the Day \| Help For webmasters: Free content \| Linking \| Lookup box \| Double-click lookup

Disclaimer
All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.