Wiener–Beurling spaces and their properties
Autor: | Erlan Nursultanov, Sergey Tikhonov |
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Jazyk: | angličtina |
Rok vydání: | 2020 |
Předmět: |
Pure mathematics
General Mathematics 010102 general mathematics Duality (mathematics) Mathematics::Classical Analysis and ODEs Space (mathematics) Absolute convergence 01 natural sciences Convolution Mathematics::Probability Product (mathematics) 0101 mathematics Fourier series Mathematics Interpolation |
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 |
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