2 citations · 5 across the 12 of their papers we have counts for
8 papers · 1 filter
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…
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…
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…
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…