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.

中文翻译：

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维也纳-伯灵空间及其性质

在本文中，我们介绍了Wiener-Beurling空间，它推广了绝对收敛的Fourier级数的Wiener空间，Berling空间以及Cesàro和Copson空间。我们研究它们的主要属性：嵌入，对偶和插值。我们还将讨论Wiener-Beurling空间中的乘积和卷积算符以及各种平均算符。