In mathematics, the term Beurling algebra is used for different algebras introduced by Arne Beurling (), usually it is an algebra of periodic functions with Fourier series ExampleWe may consider the algebra of those functions f where the majorants of the Fourier coefficients an are summable. In other words ExampleWe may consider a weight function w on such that in which case is a unitary commutative Banach algebra. These algebras are closely related to the Wiener algebra.