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A kernel independent fast multipole algorithm for radial basis functions
Radial basis functions Fast multipole method Kernel independency Multiscale method
2015/7/14
A kernel independent fast multipole algorithm for radial basis functions.
Optimal Recovery of Holomorphic Functions from Inaccurate Information about Radial Integration
Approximation Optimal Recovery Holomorphic
2013/1/30
This paper addresses the optimal recovery of functions from Hilbert spaces of functions on the unit disc. The estimation, or recovery, is performed from inaccurate information given by integration alo...
Semi-infinite paths of the 2d-Radial Spanning Tree
stochastic geometry random tree semi-infinite path asymptotic direction competition interface
2012/6/9
We study semi-infinite paths of the radial spanning tree (RST) of a Poisson point process in the plane. We first show that the expectation of the number of intersection points between semi-infinite pa...
Classification of radial solutions of the focusing, energy-critical wave equation
Classification radial solutions focusing energy-critical wave equation Analysis of PDEs
2012/4/17
In this paper, we describe the asymptotic behaviour of globally defined solutions and of bounded solutions blowing up in finite time of the radial energy-critical focusing non-linear wave equation in ...
Resonant uniqueness of radial semiclassical Schrodinger operators
inverse scattering theory trace invariants semiclassical Schrodinger operators
2011/8/25
Abstract: We prove that radial, monotonic, superexponentially decaying potentials in R^n, n greater than or equal to 1 odd, are determined by the resonances of the associated semiclassical Schrodinger...
On lower eigenvalue estimates for Toeplitz operators with radial symbols in Bergman spaces
Bergman spaces Bargmann spaces Toeplitz operators
2011/2/21
We consider Toeplitz operators in different Bergman type spaces, having radial symbols with variable sign. We show that if the symbol has compact support or decays rapidly, the eigenvalues of such ope...
Selected results on Lie supergroups and their radial operators
Selected results Lie supergroups radial operators
2011/2/25
Foundational material on complex Lie supergroups and their radial operators is presented. In particular, Berezin’s recursion formula for describing the radial parts of fundamental operators in general...
Transport barrier for the radial diffusion due to the ExB drift motion of guiding centers in cylindrical confinement geometry
Transport barrier for the radial diffusion ExB drift motion cylindrical confinement geometry
2010/12/28
We consider the radial transport of test particles due to the E×B drift motion in the guiding center approximation. In a configuration where the magnetic field is constant and uniform in linear device...
Radial extension of a bi-Lipschitz parametrization of a starlike Jordan curve
Radial extension bi-Lipschitz parametrization
2010/11/24
In this paper we discus the radial extension $w$ of a bi-Lipschitz parameterization $F(e^{it})=f(t)$ of a starlike Jordan curve $\gamma$ w.r. to $0$. We show that, if parameterization is bi-Lipschitz,...
Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption
Global dynamics above the ground state the nonlinear Klein-Gordon equation
2010/11/8
We extend our previous result on the focusing cubic Klein-Gordon equation in three dimensions to the non-radial case, giving a complete classification of global dynamics of all solutions with energy a...
The convex real projective manifolds and orbifolds with radial ends I: the openness of deformations
The convex real projective manifolds orbifolds radial ends I
2010/11/11
A real projective orbifold is an $n$-dimensional orbifold modeled on $RP^n$ with groups $\PGL(n+1, \bR)$. We concentrate on orbifolds with a compact codimension $0$ submanifold whose complement is a u...
The Radial-Hedgehog Solution in Landau--de Gennes' theory
Radial-Hedgehog Solution Landau--de Gennes' theory
2010/12/10
We study the radial-hedgehog solution in a three-dimensional spherical droplet, with homeotropic boundary conditions, within the Landau-de Gennes theory for nematic liquid crystals. The radial-hedgeho...
Radial symmetry and symmetry breaking for some interpolation inequalities
Sobolev spaces interpolation Hardy-Sobolev inequality
2010/12/3
We analyze the radial symmetry of extremals for a class of interpolation inequalities known as Caffarelli-Kohn-Nirenberg inequalities, and for a class of weighted logarithmic Hardy inequalities which ...
Delta function singularity in the Reduction of Radial Schrodinger Equation
Laplace operator radial equation boundary condition singular potentials
2010/12/8
We obtain the extra delta-like singularity while reduction of the Laplace operator in spherical coordinates, elimination of which restricts the radial wave functions at the origin. This restriction ha...
What is the boundary condition for radial wave function of the Schrödinger equation ?
Schrodinger equation radial equation boundary condition
2010/12/15
The mathematical physics literatures as well as quantum mechanics textbooks on spherically symmetric potentials are enormous. Despite of these there is no unique point of view about the boundary behav...