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Monogenic Wavelets Over the Unit Ball
Author(s) -
Paula Cerejeiras,
M. Ferreira,
Uwe Kähler
Publication year - 2005
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/1270
Subject(s) - unit sphere , wavelet , quaternion , ball (mathematics) , mathematics , artificial intelligence , computer science , pure mathematics , mathematical analysis , geometry
In this article we de ne a monogenic wavelet transform for quaternion valued functions on the unit ball B in R3 based on representations of the group of Mobius transformations which maps the unit ball onto itself.

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