Group Cross-Correlations with Faintly Constrained Filters
This work addresses a theoretical limitation in group cross-correlations for researchers in mathematical signal processing or group theory, but it appears incremental as it builds on prior constraints.
The paper tackles the problem of incompatibility in group cross-correlations for actions with non-compact stabilizers by introducing a notion with less constrained filters, and it generalizes results to non-transitive actions and weakens unimodularity assumptions.
We provide a notion of group cross-correlations, where the associated filter is not as tightly constrained as in the previous literature. This resolves an incompatibility previous constraints have for group actions with non-compact stabilizers. Moreover, we generalize previous results to group actions that are not necessarily transitive, and we weaken the common assumption of unimodularity.