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Harmonic polynomial

In mathematics, in abstract algebra, a multivariate polynomial over a field whose Laplacian is zero is termed a harmonic polynomial. The harmonic… 
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PolynomialRadical polynomial

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Conquering the pre-computation in two-dimensional harmonic polynomial transforms
We describe a skeletonization of the spherical harmonic connection problem that reduces the storage and pre-computation to… 
2013
2013
Multivariate time-space harmonic polynomials: a symbolic approach
By means of a symbolic method, in this paper we introduce a new family of multivariate polynomials such that multivariate L\'evy… 
2013
2013
Non-harmonic cones are sets of injectivity for the twisted spherical means on ℂⁿ
In this article, we prove that a complex cone is a set of injectivity for the twisted spherical means for the class of all… 
Review
2013
Review
2013
On a representation of time space-harmonic polynomials via symbolic L\'evy processes
In this paper, we review the theory of time space-harmonic polynomials developed by using a symbolic device known in the… 
2009
2009
Representation of Regional Gravity Fields by Radial Base Functions
The research aims at an investigation of the optimal choice of local base functions, to derive a regional solution of the gravity… 
2008
2008
Superharmonic Perturbations of a Gaussian Measure, Equilibrium Measures and Orthogonal Polynomials
Abstract.This work concerns superharmonic perturbations of a Gaussian measure given by a special class of positive weights in the… 
2006
2006
On Harmonic Polynomial Interpolation
We show here that the methods of Lh-potential theory, developed in [Z1, Z5, Z6], are applicable to the problem of interpolation… 
1997
1997
Harmonic polynomials and the divisibility problem
An easy way to construct a fist harmonic polynomial component of any polynomial is given. If we tried to divide any polynomial P… 
1988
1988
On classification of quadratic harmonic maps of $S^3$
By the generalized Do Carmo-Wallach classification theorem polynomial harmonic maps between spheres can be parametrized by a… 
1971
1971
Value distribution of harmonic polynomials in several real variables.
. Using Bergman's integral operator method, the author studies an arbitrary axisymmetric harmonic polynomial H(x, p) in R3 and R… 
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