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math.FA2026
Universal Nonuniform Sampling of Positive Operator Orbits via Complete Stein--Pick Criteria and Density
Jian Wu
We study nonuniform sampling for positive operator systems. Given a locally finite set \(T\subset[0,\infty)\), we determine when exact observability of \(\{CA^n\}_{n\in\mathbb N}\)…
math.FA2026
Power Stability of Finitely Generated Dynamical Frames for Positive Operators
Jian Wu
Let \( Λ=\{λ_j\}_{j\in\mathbb N}\subset[0,1) \) be a finite union of Carleson sequences, and let \( Λ^p=\{λ_j^p\}_{j\in\mathbb N} \) for \(p>0\). We prove that \(Λ\) and \(Λ^p\) ad…
math.FA2026
Boundary Rigidity and Classification of Spectral Transformations Preserving Frame Generators of Normal Diagonal Operator Orbits
Jian Wu
Let be the class of Carleson sequences in the unit disk . We study arbitrary maps satisfying, for every sequence $Λ=\{λ_n\}_{n\ge1…