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

页码：205 / 229

页数：25

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