On pseudo-complex bases for monogenic polynomials
On pseudo-complex bases for monogenic polynomials
复制标题
关于单基因多项式的伪复基
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
H. Malonek
中科院分区：
文献类型：
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作者：
C. Cruz;M. I. Falcão;H. Malonek
最近，在Clifford分析的框架下，构造单演多项式空间的基的问题已经被几位作者使用不同的方法考虑过。在这次演讲中，我们认为基地的三维单演多项式同构的复杂的权力，这是特别容易处理，从计算的角度来看。这种多项式基地的显式构造进行和数值成本比较与著名的Fueter多项式的基础上进行。
In the recent past, the problem of constructing bases for spaces of monogenic polynomials, in the framework of Clifford Analysis, has been considered by several authors, using different methods. In this talk we consider bases of 3D monogenic polynomials isomorphic to the complex powers, which are particularly easy to handle, from the computational point of view. Explicit constructions of such polynomial bases are performed and a numerical cost comparison with the well known Fueter polynomial basis is carried out.