Now showing items 1-6 of 6
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 ...
Integral Geometry in Hyperbolic Spaces and Electrical Impedance Tomography
We study the relation between convolution operators and the totally geodesic Radon transform on hyperbolic spaces. as an application we show that the linearized inverse conductivity problem in the disk can be interpreted ...
On the Converse to Pompeiu's Problem
This is a reprint of a 1976 paper that appears in an inaccessible Brazilian journal and has become very looked after. It deals with the problem of determining a convex plane domain from the existence of infinitely many ...
Resudus, Courants residuels et Courants de Green
Some explicit formulas are provided in order to solve division problems in commutative algebra or questions related to intersection theory; it is shown here how the ides of analytic continuation of distributions leads to ...
Approximation by Spherical Waves in Lp-Space
We prove that functions of the form f(1x-a1), a in a closed surface, are dense in the space of all functions in Lp, for zn/(n+1). This property fails for 1zn/(n+1). By letting f be a Gsussian, we obtain a result about ...
Green Currents and Analytic Continuation
Using the construction of residue currents via analytic continuation we give explicit formulas for green currents which have singularities along algebraic varieties in projective space, as long as they are complete intersections.