arXiv Open Access 2019

Fine spectra of the finite Hilbert transform in function spaces

Guillermo P. Curbera Susumu Okada Werner J. Ricker

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Abstrak

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.

Topik & Kata Kunci

math.FA

Penulis (3)

Guillermo P. Curbera

Susumu Okada

Werner J. Ricker

Format Sitasi

APA MLA BibTeX

Curbera, G.P., Okada, S., Ricker, W.J. (2019). Fine spectra of the finite Hilbert transform in function spaces. https://arxiv.org/abs/1912.09700

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓