2 problems

Cluster-concentrated basis conjecture. There are $\operatorname{dim}_K-1$ eigenvalues of $PQ$ larger than $1/2$, including $\operatorname{dim}_K-(K+1)$ eigenvalues equal to one and…

Optimality conjecture. The local-set-based wavelet basis $\operatorname{W}_{\rm LSPC}$ minimizes, among all orthonormal bases $\operatorname{F}$, the worst-case number of nonzero c…