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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…
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…
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…
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…