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math.FA 1

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2026 1

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Block Diagonal Carleson Frames

math.FA · 2026-07-20 · conditional · novelty 6.0

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 math.FA · 2026-07-20 · conditional · none · ref 4

    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