The Plancherel and Hausdorff-Young type theorems for an index transformation

被引：0
|
作者：
Yakubovich, Semyon B. [1 ]
机构：
[1] Univ Porto, Dept Pure Math, Fac Sci, P-4169007 Oporto, Portugal
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2006年 / 25卷 / 02期
关键词：
bessel functions; index transform; Mellin transform; Kontorovich-Lebedev transform; Plancherel theorem; Hausdorff young inequality; Parseval equality;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Plancherel and Hausdorff-Young type theorems are proved for an integral transformation, which is associated with the product of the modified Bessel functions of different arguments. The transform essentially generalizes Lebedev's transformation involving squares of the modified Bessel functions as kernels.
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页码：193 / 204
页数：12
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