A short proof on the Plancherel formula

Ganling Zhou*, Qiyuan Zhao

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


Fourier transform is a linear transform that applicants in the field of engineering and physics. The main goal of this research study is to give a self-contained study of the Fourier transform. As a modern analysis tool, the Fourier Transform has multiple applications in many fields, from the study of partial differential equations to dynamical systems. Fourier transformation has played a key role in many research fields. In this paper, we summarize the basic computational properties of the Fourier transformation and give proof of the Plancherel formula.

Original languageEnglish
Article number012080
JournalJournal of Physics: Conference Series
Issue number1
Publication statusPublished - 8 Sept 2021
Externally publishedYes
Event2021 5th International Conference on Mechanics, Mathematics and Applied Physics, ICMMAP 2021 - Guilin, China
Duration: 23 Jul 202125 Jul 2021


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