Iterated Stieltjes transform of generalized functions

The generalized S2-transform of a member of f of a certain space of generalized functions is defined as F(x)=〈f(t),k(x,t;ρ)〉, wherek(x,t;ρ)=∫0∞1(x+y)ρ(y+t)ρ  dy,  ρ>12,0<x<∞  and  0<t<∞. An inversion theorem for the transform is established interpreting the oonver...

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Bibliographic Details
Main Author: L. S. Dube
Format: Article
Language:English
Published: Wiley 1985-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171285000461
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