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arXiv · 1912.09700

Fine spectra of the finite Hilbert transform in function spaces

Guillermo P. Curbera·Susumu Okada·Werner J. Ricker
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Abstract

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.

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Guillermo P. Curbera, Susumu Okada, Werner J. Ricker. 2019-12-20. Fine spectra of the finite Hilbert transform in function spaces. https://arxiv.org/abs/1912.09700

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