Abelian theorem for the Stieltjes transform of distributions

Abelian theorem for the Stieltjes transform of distributions

First, a definition is given of the Stieltjes transform of distributions which contains some well-known. Then, a structural theorem for distributions having S-asymptotic is proved. This makes possible to prove two theorems of the Abelian type valued for Stieltjes transforms of distributions given in...

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Bibliographic Details
Main Author: Bogoljub Stanković
Format: Article
Language:English
Published: Hindawi Limited 1990-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Stieltjes transform
S-asymptotic
Abelian type theorem
distribution
generalized function.
Online Access:http://dx.doi.org/10.1155/S016117129000093X
Description
Summary:First, a definition is given of the Stieltjes transform of distributions which contains some well-known. Then, a structural theorem for distributions having S-asymptotic is proved. This makes possible to prove two theorems of the Abelian type valued for Stieltjes transforms of distributions given in different ways.
ISSN:0161-1712
1687-0425

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