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Fine spectra of the finite Hilbert transform in function spaces


Curbera, GP and Okada, S and Ricker, WJ, Fine spectra of the finite Hilbert transform in function spaces, Advances in Mathematics, 380 Article 107597. ISSN 0001-8708 (2021) [Refereed Article]

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DOI: doi:10.1016/j.aim.2021.107597


We investigate the spectrum and fine spectra of the finite Hilbert transform acting on rearrangement invariant spaces over (-1, 1) with non-trivial Boyd indices, thereby extending Widom's results for L-p spaces. In the case when these indices coincide, a full description of the spectrum and fine spectra is given. (C) 2021 Elsevier Inc. All rights reserved.

Item Details

Item Type:Refereed Article
Keywords:finite Hilbert transform, rearrangement invariant space, boyd indices, spectrum
Research Division:Mathematical Sciences
Research Group:Pure mathematics
Research Field:Pure mathematics not elsewhere classified
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Okada, S (Dr Susumu Okada)
ID Code:152357
Year Published:2021
Deposited By:Mathematics
Deposited On:2022-08-17
Last Modified:2022-08-17

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