Analyticity and spectral decompositions of \(L^ p\) for compact Abelian groups
DOI10.2140/pjm.1987.127.247zbMath0651.47032OpenAlexW1520239885MaRDI QIDQ1106450
Earl Berkson, Paul S. Muhly, T. Alastair Gillespie
Publication date: 1987
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1987.127.247
Hilbert transformcocyclesUMD spacesdual groupspectral decompositionsgeneralized analyticityholomorphic semigroup extensionssimply invariant subspacesspectral decompositions of bounded one-parameter groups
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Groups and semigroups of linear operators (47D03) Invariant subspaces of linear operators (47A15) Analysis on ordered groups, (H^p)-theory (43A17)
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