Dmitry Batenkov

activity

20092025

most citedAlgebraic Fourier reconstruction of piecewise smooth functions

56 citations · 196 across the 25 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.CA2014

Taylor Domination, Difference Equations, and Bautin Ideals

Dmitry Batenkov, Yosef Yomdin

We compare three approaches to studying the behavior of an analytic function $f (z) = \sum_{k = 0}^{\infty} a_{k} z^{k}$ from its Taylor coefficients. The first is "Taylor domination" property…

math.NA2014★ 23 cited

Stability and super-resolution of generalized spike recovery

Dmitry Batenkov

We consider the problem of recovering a linear combination of Dirac delta functions and derivatives from a finite number of Fourier samples corrupted by noise. This is a generalize…