The Kontorovich-Lebedev integral transformation with a Hankel function kernel in a space of generalized functions of doubly exponential descent

被引：6
|
作者：
Gutierrez-Tovar, Y. E.
Mendez-Perez, J. M. R. [1 ]
机构：
[1] Univ Nacl Expt Politecn, Dept Estudios Gen, Puerto Ordaz, Estado Bolivar, Venezuela
[2] Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Tenerife, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 328卷 / 01期
关键词：
Hankel function; Kontorovich-Lebedev transformations; generalized functions; inversion formula;
D O I：
10.1016/j.jmaa.2006.05.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A version of the Kontorovich-Lebedev transformation with the Hankel function of second kind in the kernel is investigated in a space of distributions of doubly exponential descent. The inversion theorem is rigorously established making use in some steps of the proof of a relation of this transform with the Laplace one. Finally, the theory developed is illustrated in solving certain type of partial differential equations. (c) 2006 Elsevier Inc. All rights reserved.
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页码：359 / 369
页数：11
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