## Fischer decomposition for spinor valued polynomials in several variables. (arXiv:1708.01426v1 [math.CV])

It is well-known that polynomials decompose into spherical harmonics. This result is called separation of variables or the Fischer decomposition. In the paper we prove the Fischer decomposition for spinor valued polynomials in \$k\$ vector variables of \${\mathbb R}^m\$ under the stable range condition \$m\geq 2k\$. Here the role of spherical harmonics is played by monogenic polynomials, that is, polynomial solutions of the Dirac equation in \$k\$ vector variables.查看全文

## Solidot 文章翻译

 你的名字 留空匿名提交 你的Email或网站 用户可以联系你 标题 简单描述 内容 It is well-known that polynomials decompose into spherical harmonics. This result is called separation of variables or the Fischer decomposition. In the paper we prove the Fischer decomposition for spinor valued polynomials in \$k\$ vector variables of \${\mathbb R}^m\$ under the stable range condition \$m\geq 2k\$. Here the role of spherical harmonics is played by monogenic polynomials, that is, polynomial solutions of the Dirac equation in \$k\$ vector variables.