Block-diagonal operators made of uniformly bounded Jordan blocks generate frames from a single vector exactly when their eigenvalues form a Carleson sequence and the vector's leading component stays bounded away from zero; with positive spectrum, sampling along any sequence of positive natural densi
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Block Diagonal Carleson Frames
Block-diagonal operators made of uniformly bounded Jordan blocks generate frames from a single vector exactly when their eigenvalues form a Carleson sequence and the vector's leading component stays bounded away from zero; with positive spectrum, sampling along any sequence of positive natural densi