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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.