The Fourier theorem

✍ Scribed by Raimond A. Struble

• Book ID: 103084197
• Publisher: Elsevier Science
• Year: 1978
• Tongue: English
• Weight: 983 KB
• Volume: 306
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(78)90064-9

✦ Synopsis

It has been tacitly understood that Fourier's representation theorem applies only to a very restricted class of functions. On the contrary, by adopting an appropriate algebraic viewpoint, it is explained in this article how the theorem can be readily extended to include all (non-pathological) functions.