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On generalized Hilbert transforms and their interaction with the Radon transform in Clifford analysis

✍ Scribed by Fred Brackx; Bram De Knock; Hennie De Schepper

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 197 KB
Volume: 30
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.826

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✦ Synopsis

Abstract

The present paper deals with the interaction between the multidimensional Hilbert transform and the Radon transform in Clifford analysis, both transforms being protagonists in multidimensional signal analysis theory. In an attempt to complete the picture, we consider in particular the action of the Radon transform on two types of generalized Hilbert operators, which have been constructed in the context of some well‐established families of Clifford distributions. Copyright © 2007 John Wiley & Sons, Ltd.

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