The new problem of nonparametric estimation of the interaction function of pairwise interaction point processes is addressed. We rst generalize some limit theorems of Saunders and Funk. Then we propose a very simple nonparametric estimation method based on the generalization. Several examples are shown to illustrate its eecacy.

Cataract Surgery combined with Excimer Laser Trabeculotomy to lower Intraocular Pressure: Effectiveness on different IOP Levels Marc Töteberg-Harms MD, James V.M. Hanson PhD, Jens Funk MD, PhD 1) Massachusetts Eye & Ear Infirmary, Harvard Medical School, 20 Staniford Street, Boston, MA 02114, USA ([email protected]) 2) UniversityHospital Zurich, Department of Ophthalmology, Frauenklinikstra...

We prove that a function on an irreducible compact symmetric space M which is not a sphere is determined by its integrals over the shortest closed geodesics in M . We also prove a support theorem for the Funk transform on rank one symmetric spaces which are not spheres.

M. de Naurois, G. Dubus, S. Funk, G. Rowell, P.M. Chadwick for the H.E.S.S. Collaboration (a) LPNHE IN2P3 CNRS Universities Paris VI & VII, Paris, France (b) LLR IN2P3 CNRS, Ecole Polytechnique, Palaiseau, France (c) Max-Planck-Institut für Kernphysik, Heidelberg, Germany (d) University of Durham, Department of Physics, Durham, U.K. Presenter: M. de Naurois ([email protected]), fra-denaurois-M-...

We discuss properties of a generalized Minkowski-Funk transform de…ned for a family of hypersurfaces. We prove two-side estimates for the integral operator and show that the range conditions can be written in terms of the reciprocal Funk transform. Some applications to the spherical mean transform are considered. 1 Families of hypersurfaces Let X and be smooth manifolds of dimension n > 1 and F...

The Cauchy problem for the Euler-Poisson-Darboux equation on the unit sphere Sn gives rise to a family of fractional integrals M cos f(x) which integrate f over the spherical cap of radius centered at the point x 2 Sn. These fractional integrals are called the generalized Minkowski-Funk transforms because various transforms of integral geometry (including those of Minkowski and Funk) are partic...

This paper,  applies the concept  of KM-fuzzy metric spaces and  introduces a novel concept of KM-fuzzy metric  graphs based on KM-fuzzy metric spaces.  This study, investigates the finite KM-fuzzy metric spaces with respect to metrics and KM-fuzzy metrics and constructs KM-fuzzy metric spaces on any given non-empty sets. It tries to  extend   the concept of KM-fuzzy metric spaces to  a larger ...