The paper unifies multiple signal transforms as eigenbases of covariances invariant under specific groups, using representation theory and an Algebraic Diversity framework to discover matched groups from data.
Die Vollst ¨andigkeit der primitiven Darstellungen einer geschlossenen kontinuierlichen Gruppe
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Unification of Signal Transform Theory
The paper unifies multiple signal transforms as eigenbases of covariances invariant under specific groups, using representation theory and an Algebraic Diversity framework to discover matched groups from data.