Fine spectra of the finite Hilbert transform in function spaces
Functional Analysis
2021-01-15 v2
Abstract
We investigate the spectrum and fine spectra of the finite Hilbert transform acting on rearrangement invariant spaces over with non-trivial Boyd indices, thereby extending Widom's results for spaces. In the case when these indices coincide, a full description of the spectrum and fine spectra is given.
Cite
@article{arxiv.1912.09700,
title = {Fine spectra of the finite Hilbert transform in function spaces},
author = {Guillermo P. Curbera and Susumu Okada and Werner J. Ricker},
journal= {arXiv preprint arXiv:1912.09700},
year = {2021}
}
Comments
26 pages, 1 figure. Minor changes from previous version. This is the final version, to be published in Advances in Mathematics