Some properties of a modified Hilbert transform

Recently, Steinbach et al. introduced a novel operator $\mathcal{H}_T: L^2(0,T) \rightarrow L^2(0,T)$, known as the modified Hilbert transform. This operator has shown its significance in space-time formulations related to the heat and wave equations. In this paper, we establish a direct connection...

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Bibliographic Details
Main Author: Ferrari, Matteo
Format: Article
Language:English
Published: Académie des sciences 2024-09-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.600/
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