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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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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
We describe a skeletonization of the spherical harmonic connection problem that reduces the storage and pre-computation to… 
2015
2015
The harmonic index H(G) , of a graph G is defined as the sum of weights 2/(deg(u)+deg(v)) of all edges in E(G), where deg (u… 
2006
2006
We show here that the methods of Lh-potential theory, developed in [Z1, Z5, Z6], are applicable to the problem of interpolation… 
Highly Cited
2002
Highly Cited
2002
Using techinques of complex dynamics we prove the conjecture of Sheil-Small and Wilmshurst that the harmonic polynomial z -p(z… 
2002
2002
For each compact subset K of RN let H(K) denote the space of functions that are harmonic on some neighbourhood of K. The space H… 
Highly Cited
1998
Highly Cited
1998
The paper gives an upper bound for the valence of harmonic polynomials. An example is given to show that this bound is sharp… 
Review
1998
Review
1998
Abstract. A review of hyperspherical-harmonics (HH) methods from the standpoint of their applications is given. In the first… 
Highly Cited
1988
Highly Cited
1988
(1.1) Some of the main results described in [Report] are the following (in rough terms; notations and precise references will be… 
1971
1971
Using Bergman's integral operator method, the author studies an arbitrary axisymmetric harmonic polynomial H(x, p) in R3 and R…