A simple real-variable proof that the Hilbert transform is an \(L^{2}\)-isometry

DOI10.1016/J.CRMA.2010.07.002zbMath1201.44008OpenAlexW1977946679MaRDI QIDQ710842

Enrico Laeng

Publication date: 22 October 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.07.002

zbMATH Keywords

Hilbert transformisometry

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (2)

On the \(L^p\) norms of the Hilbert transform of a characteristic function ⋮ Hilbert transform is an isometry: A simple proof via real rational functions

Cites Work

• The Hilbert transform and Hermite functions: a real variable proof of the \(L^2\)-isometry
• Variations on a theme of Boole and Stein-Weiss
• Sharp \(L^p\) estimates for the segment multiplier
• Unnamed Item

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