Abstract:
In this paper, we introduce the Wiener–Beurling space, which
generalize the Wiener space of absolutely convergent Fourier
series, the Berling space as well as the Cesàro and Copson
spaces. We investigate their main properties: embeddings,
duality, and interpolation. We also discuss the product and
convolution operators as well as various average operators in
the Wiener–Beurling spaces.
