Beurling algebra

In mathematics, the term Beurling algebra is used for different algebras introduced by , usually it is an algebra of periodic functions with Fourier series
Example
We may consider the algebra of those functions "f" where the majorants
of the Fourier coefficients "a""n" are summable. In other words
Example
We may consider a weight function "w" on formula_4 such that
in which case formula_6
is a unitary commutative Banach algebra.
These algebras are closely related to the Wiener algebra.