Stochastic generalized sampling uses leverage-score sampling and a new matrix Bernstein inequality to guarantee stable recovery at m ≳ n log n samples with high probability, even for redundant frames, and demonstrates near-exponential convergence on analytic function recovery from Fourier data.
Springer, 2003
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Establishes quantitative Fredholm backstepping for operators of order >1 with explicit isomorphism and sharp estimates yielding rapid stabilization and small-time null controllability.
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Quantitative Fredholm backstepping and rapid stabilization
Establishes quantitative Fredholm backstepping for operators of order >1 with explicit isomorphism and sharp estimates yielding rapid stabilization and small-time null controllability.