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02/27/03 Colloquium
DR. MARCIN BOWNIK
UNIVERSITY OF MICHIGAN
UNIVERSITY OF MICHIGAN
How to Construct Multidimensional Wavelets with Good Time-Frequency Localization
Abstract: In this talk I will discuss the problem of constructing orthogonal wavelets in higher dimensions. In general this is a difficult problem if we require some special properties on wavelets, such as regularity or fast decay. I will present some positive results on the existence of regular wavelets. I will also describe certain inherent limitations on the existence of wavelets with good time-frequency localization.