Projection method for the Hankel transform

被引：0

作者：

Krylov, Andrey S. ^{[1
]}

Mizotin, Maxim M. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Math Phys, Fac Computat Math & Cybernet, Moscow 119991, Russia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2011年 / 22卷 / 06期

关键词：

Hankel transform; projection method; Laguerre functions; regularization theory; NUMERICAL EVALUATION;

D O I：

10.1080/10652469.2010.518568

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The numerical projection method for the zero-order Hankel transform inversion for the case of data given on a finite interval has been developed. The justification of the convergence of the projection method has been done for the general case that also includes the sine-Fourier transform inversion. An inequality on the norms of the zeroth-order Laguerre functions has been proved. The efficiency of the method was illustrated with the test data and for the problem of cylindrical distribution function calculation using the melt surface layer diffraction data.

引用

页码：431 / 441

页数：11

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