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math.FA2019
Fine spectra of the finite Hilbert transform in function spaces
Guillermo P. Curbera, Susumu Okada, Werner J. Ricker
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…
math.FA2019
Non-extendability of the finite Hilbert transform
Guillermo P. Curbera, Susumu Okada, Werner J. Ricker
It is proved that the finite Hilbert transform , which acts continuously on every rearrangement invariant space on having non-trivial Boyd indices, is…
math.FA2019★ 7 cited
Inversion and extension of the finite Hilbert transform on (-1,1)
Guillermo P. Curbera, Susumu Okada, Werner J. Ricker
The principle of optimizing inequalities, or their equivalent operator theoretic formulation, is well established in analysis. For an operator, this corresponds to extending its ac…