Print Email Facebook Twitter A Fuglede type theorem for Fourier multiplier operators Title A Fuglede type theorem for Fourier multiplier operators Author de Pagter, B. (TU Delft Analysis) Ricker, Werner J. (Katholische Universität Eichstätt - Ingolstadt) Date 2022 Abstract Let E be a translation invariant Banach function space over an infinite compact abelian group G and Mφ be a Fourier multiplier operator (with symbol φ) acting on E. It is assumed that E has order continuous norm and that E is reflection invariant (which ensures that φ̄ is also a multiplier symbol for E). The following Fuglede type theorem is established. Whenever T is a bounded linear operator on E satisfying MφT=TMφ, then also Mφ̄T=TMφ̄. Subject Compact abelian groupFourier multiplier operatorReflection invarianceTranslation invariant Banach function space To reference this document use: http://resolver.tudelft.nl/uuid:d0c0c866-0b78-4872-8835-d1ca864841f4 DOI https://doi.org/10.1016/j.indag.2022.10.005 ISSN 0019-3577 Source Indagationes Mathematicae, 34 (2023) (2), 259-273 Part of collection Institutional Repository Document type journal article Rights © 2022 B. de Pagter, Werner J. Ricker Files PDF 1_s2.0_S0019357722000854_main.pdf 469.77 KB Close viewer /islandora/object/uuid:d0c0c866-0b78-4872-8835-d1ca864841f4/datastream/OBJ/view