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Harmonic analysis of causal operators and their spectral properties
(Institute of Physics, 2005)
The definition and study of causal operators are based on the representation theory of group algebras. We study the structure of the spectra of causal operators, obtain conditions for causal invertibility and state ...
Matrical Filters and Crystallographic Composite Dilation Wavelets
(American Mathematical Society, 2011-07-12)
In 2006 Guo, Labate, Lim, Weiss, and Wilson introduced the theory of MRA composite dilation wavelets. We continue their work by studying the filter properties of such wavelets and present several important examples.