Analysis vs. synthesis sparsity for $\alpha$-shearlets

Felix Voigtlaender, Anne Pein

There are two notions of sparsity associated to a frame $\Psi =({\psi }_i{)}_{i\in I}$: Analysis sparsity of $f$ means that the analysis coefficients $(⟨f,{\psi }_i⟩{)}_i$ are sparse, whi…