Bebe and Louis Barron and the Machine", by mathematician Norbert Wiener from MIT played an important role in the development of the Barrons' composition. The science of cybernetics proposes that certain natural laws of behavior apply to both animals and more complex electronic machines. By following the equations presented in the book, Louis was able to build electronic circuits which he manipulated to generate sounds. Most of the tonalities were generated with a circuit called a ring modulator. The sounds and patterns that came out of the circuits were unique and unpredictable because they were actually overloading the circuits until they burned out to
Wiener algebra functions on the unit circle. On the other hand an integration by parts, together with the Cauchy–Schwarz inequality and Parseval's formula, shows that More generally, for formula_8 (see ). proved that if has absolutely convergent Fourier series and is never zero, then its inverse also has an absolutely convergent Fourier series. Many other proofs have appeared since then, including an elementary one by . which is equivalent to Wiener's theorem. Wiener algebra In mathematics, the Wiener algebra, named after Norbert Wiener and usually denoted by , is the space of absolutely convergent Fourier series. Here denotes the circle group. The