2 citations · 5 across the 12 of their papers we have counts for
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A Support Characterization for Functions on the Unit Sphere with Vanishing Integrals Arising from Tangent Planes to a Given Surface
Yehonatan Salman
Let be an axially symmetric, smooth, closed hypersurface in with a simply connected interior which is contained inside the unit sphere . For a cont…
Geometry and Singularities of Prony varieties
Gil Goldman, Yehonatan Salman, Yosef Yomdin
We start a systematic study of the topology, geometry and singularities of the Prony varieties , defined by the first equations of the classical Prony system $$\sum_{…
Prony Scenarios and Error Amplification in a Noisy Spike-Train Reconstruction
Gil Goldman, Yehonatan Salman, Yosef Yomdin
The paper is devoted to the characterization of the geometry of Prony curves arising from spike-train signals. We give a sufficient condition which guarantees the blowing up of the…
The Spherical Mean Transform with Data on a Parabola in the Plane
Yehonatan Salman
In this paper we deal with the problem of recovering functions from their spherical mean transform , which integrates functions on circles in the plane, in case where…
Revisiting the Problem of Recovering Functions in by Integration on Dimensional Planes
Yehonatan Salman
The aim of this paper is to present inversion methods for the classical Radon transform which is defined on a family of dimensional planes in where $1\leq k\leq n…
Accuracy of noisy Spike-Train Reconstruction: a Singularity Theory point of view
Gil Goldman, Yehonatan Salman, Yosef Yomdin
This is a survey paper discussing one specific (and classical) system of algebraic equations - the so called "Prony system". We provide a short overview of its unusually wide conne…