Wiener–Beurling spaces and their properties

Autor: Erlan Nursultanov, Sergey Tikhonov
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: RECERCAT (Dipòsit de la Recerca de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Popis: 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. © 2019 Elsevier Masson SAS
Databáze: OpenAIRE