Zonal polynomial


In mathematics, a zonal polynomial is a multivariate symmetric homogeneous polynomial. The zonal polynomials form a basis of the space of symmetric polynomials.
They appear as zonal spherical functions of the Gelfand pairs
and, which means that they describe canonical basis of the double class
algebras and .
They are applied in multivariate statistics.
The zonal polynomials are the case of the C normalization of the Jack function.