Now showing items 1-10 of 28
The Pompeiu Problem, What's New?
Survey of recent developments on the Pompeiu problem and the Schiffer problem. This problem has surprising interactions with inverse scattering, image processing and other applied problems.
The Inverse Conductivity Problem and the Hyperbolic X-Ray Transform
It is shown here how the approximate inversion algorithm of Barber & Brown for the linearized inverse conductivity problem in the disk can be interpreted exactly in terms of the X-ray transform with respect to the Poincare ...
Interpolating Varieties for Spaces of Meromorphic Functions
Various interesting results on interpolation theory of entire functions with given growth conditions have been obtained by imposing conditions on multiplicity varieties and weights. All the results discussed in the literature ...
Structure of Divisible Discrete Random Sets and Their Randomized Superpositions
In this paper, we present an axiomatic formulation of Discrete Random Sets, and extend Choquet's uniqueness result to obtain a recursive procedure for the computation of the underlying event- space probability law, given ...
On Image Deconvolution Using Multiple Sensors
We consider the two dimensional Analytic Bezout Equation (ABE) and investigate the properties of a particular solution, based on-certain conditions imposed on the convolution kernels. The results permit the reconstruction ...
Radon Transform, Wavelets, and Applications
Notes of a graduate course given in Venice, Italy, during June 1996 organized by CIME, directed to graduate students to show the interplay of different kinds of Radon transforms and medical and material science problems
Monodromic differential equations
Lecture presented at Taniguchi Symposium, Katata, June 1995. Deals with new kind of differential equations for multivalued functions. The monodromy operator is allowed to enter into the equation. Related to resurgence and ...
Residue Calculus and Effective Nullstellensatz
We provide new tools to compute multidimensional residues for rational functions, even over fields of positive characteristic. As a corollary one obtains solutions of the Betout equation for polynomials over a ring with a ...
Wronskians and Linear Dependency of Entire Functions in Cn
Wronskians criteria for linear dependency of multivariate functions are given
Do Solid Tori Have the Pompeiu Property?
We show that solid tori in Rn satisfy the Pompeiu property: This problem remains open for dimensions n ﺠ4.