56 citations · 196 across the 25 of their papers we have counts for
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Accuracy of Algebraic Fourier Reconstruction for Shifts of Several Signals
Dmitry Batenkov, Niv Sarig, Yosef Yomdin
We consider the problem of "algebraic reconstruction" of linear combinations of shifts of several known signals from the Fourier samples. Following \cite{Bat.Sar.Y…
Sampling, Metric Entropy and Dimensionality Reduction
D. Batenkov, O. Friedland, Y. Yomdin
Let be a relatively compact subset in a Hilbert space . For a given $\e>0$ let $N(\e,Q)$ be the minimal number of linear measurements, sufficient to reconstruct any $x \in Q…
Decoupling of Fourier Reconstruction System for Shifts of Several Signals
Dmitry Batenkov, Niv Sarig, Yosef Yomdin
We consider the problem of ``algebraic reconstruction'' of linear combinations of shifts of several signals from the Fourier samples. For each we ch…
Moment vanishing of piecewise solutions of linear ODEs
Dmitry Batenkov, Gal Binyamini
We consider the "moment vanishing problem" for a general class of piecewise-analytic functions which satisfy on each continuity interval a linear ODE with polynomial coefficients.…
Taylor Domination, Turán lemma, and Poincaré-Perron Sequences
Dmitry Batenkov, Yosef Yomdin
We consider "Taylor domination" property for an analytic function in the complex disk , which is an inequality of the form \[ |a_{k}|R^{k…