2 citations · 5 across the 12 of their papers we have counts for
13 papers
Constructing Infinite Sets of Orthogonal Exponentials for Convex Polytopes
Yehonatan Salman
The aim of this article is to show the existence, and also give an explicit construction, of infinite sets of orthogonal exponentials for certain families of convex polytopes which…
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…
A Symmetric Integral Identity for Bessel Functions with Applications to Integral Geometry
Yehonatan Salman
In the article [11] of L. Kunyansky a symmetric integral identity for Bessel functions of the first and second kind was proved in order to obtain an explicit inversion formula for…
Recovering Functions from the Spherical Mean Transform with Data on an Ellipse Using Eigenfunction Expansion in Elliptical Coordinates
Yehonatan Salman
The aim of this paper is to introduce a new inversion procedure for re- covering functions, defined on , from the spherical mean transform, which integrates functions o…
Recovering Functions Defined on by Integration on Subspheres Obtained from Hyperplanes Tangent to a Spheroid
Yehonatan Salman
The aim of this article is to introduce a method for recovering functions, defined on the dimensional unit sphere , using their spherical transform, which i…
Algebraic Geometry of Error Amplification: the Prony leaves
Dmitry Batenkov, Gil Goldman, Yehonatan Salman +1
We provide an overview of some results on the "geometry of error amplification" in solving Prony system, in situations where the nodes near-collide. It turns out to be governed by…
Recovering Finite Parametric Distributions and Functions Using the Spherical Mean Transform
Yehonatan Salman
The aim of the article is to recover a certain type of finite parametric distributions and functions using their spherical mean transform which is given on a certain family of sphe…
An inversion formula for the spherical mean transform with data on an ellipsoid in two and three dimensions
Yehonatan Salman
In the articles [1] and [2] of D. Finch, M. Haltmeier, S. Patch and D. Rakesh inversion formulas were found in any dimension for recovering a smooth function with compact…