A TRANSFORMATION OF HANKEL TYPE ON THE FIELD OF p-ADIC NUMBERS

被引：0
|
作者：
Li, Xian-Jin [1 ]
机构：
[1] Brigham Young Univ, Dept Math, Provo, UT 84602 USA
来源：
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2008年 / 12卷 / 02期
关键词：
Bessel function; Fourier transform; inversion formula; Plancherel formula;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper a Hankel type transformation is found on the field of padic numbers, for which we have the inversion formula and the Plancherel formula. This transformation is defined by a new Bessel type function which has remarkable properties, and is an analogue of the classical Hankel transformation [4]. A relation between the Hankel type transformation and the Fourier transformation is obtained. A formula is given for the Hankel type transform of a general function.
引用
收藏
页码：205 / 229
页数：25
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