56 citations · 172 across the 39 of their papers we have counts for
7 papers · 2 filters
Parametric Center-Focus Problem for Abel Equation
M. Briskin, F. Pakovich, Y. Yomdin
The Abel differential equation with meromorphic coefficients is said to have a center on if all its solutions, with the initial value s…
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…
Remez-Type Inequality for Smooth Functions
Yosef Yomdin
The classical Remez inequality bounds the maximum of the absolute value of a polynomial of degree on through the maximum of its absolute value on any subset …
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…
Vitushkin-type theorems
Omer Friedland, Yosef Yomdin
It is shown that for a subset that has the global Gabrielov property, a Vitushkin-type estimate holds. Concrete examples are given for sub-level sets of certain clas…