论文标题
在本地领域的谐波分析，朝向多元krawtchouk多项式的添加定理
Harmonic analysis on a local field towards addition theorems for multivariate Krawtchouk polynomials
论文作者
论文摘要
我们针对多元krawtchouk多项式的添加定理，遵循Dunkl（1976）的1个变量案例。我们在非架构的本地领域进行谐波分析，这是一个群体理论情况，这些多项式在Zonal球形函数中起着作用。与Dunkl的情况不同，我们使用球形表示的分解不一定是不可证实的。我们检查了区域球函数的翻译，并具有多元krawtchouk多项式的一种添加定理。
We aim addition theorems for multivariate Krawtchouk polynomials, following Dunkl(1976) for 1-variate case. We work on harmonic analysis on a non-Archimedean local field, that is a group theoretic situation where these polynomials play roles of the zonal spherical functions. Unlike Dunkl's case, we use decompositions of spherical representations as not necessarily irreducible. We examine translations of zonal spherical functions, and have a kind of addition theorem for multivariate Krawtchouk polynomials.
