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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 (here, is the hyperoctahedral group) 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. ==References== * Robb Muirhead, ''Aspects of Multivariate Statistical Theory'', John Wiley & Sons, Inc., New York, 1984. 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Zonal polynomial」の詳細全文を読む スポンサード リンク
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