In mathematics, the term Beurling algebra is used for various 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 an are summable. In other words
Example We 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.
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