Tauberian-type theorems with application to the Stieltjes transformation

In the first part, we define the space L'(r) and the modified Stieltjes transformation introduced by Lavoine and Misra (1979) and Marichev (1983), respectively. In the second part of the paper, we extend Tauberian-type theorems for the distributional Stieltjes transformations to the distributi...

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Bibliographic Details
Main Authors: S. B. Gaikwad, M. S. Chaudhary
Format: Article
Language:English
Published: Hindawi Limited 2006-09-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/75816