Spherical functions on p-adic homogeneous spaces

被引：0

作者：

Hironaka, Y ^{[1
]}

机构：

[1] Weseda Univ, Fac Educ & Integrated Sci, Dept Math, Tokyo 1698050, Japan

来源：

Number Theory: Tradition and Modernization | 2006年 / 15卷

关键词：

spherical functions; p-adic homogeneous spaces; relative invariants; pre-homogeneous vector spaces;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In closed integral 1, after defining spherical functions on homogeneous spaces, we examine the case of symmetric forms as an enlightening example. In closed integral 2, we introduce a general formula of spherical functions using functional equations under suitable assumption. In closed integral 3, we study a certain mechanism of functional equations of spherical functions.

引用

页码：81 / 95

页数：15

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