Quantitative invertibility and approximation for the truncated Hilbert and Riesz transforms

In this article we derive quantitative uniqueness and approximation properties for (perturbations) of Riesz transforms. Seeking to provide robust arguments, we adopt a PDE point of view and realize our operators as harmonic extensions, which makes the problem accessible to PDE tools. In this context...

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Bibliographic Details
Main Author: Rüland, Angkana (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 14 Aug 2017
In: Arxiv
Year: 2017, Pages: 1-22
Online Access:Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/1708.04285
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Author Notes:Angkana Rüland