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Fine spectra of the finite Hilbert transform in function spaces
journal contribution
posted on 2023-05-21, 11:59 authored by Curbera, GP, Susumu Okada, Ricker, WJWe 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.
History
Publication title
Advances in MathematicsVolume
380Article number
107597Number
107597Pagination
1-29ISSN
0001-8708Department/School
School of Natural SciencesPublisher
Academic PressPlace of publication
United KingdomRights statement
© 2021 Elsevier Inc. All rights reserved.Repository Status
- Restricted