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Real inversion theorems for generalized Stieltjes transforms. II

Published online by Cambridge University Press:  24 October 2008

E. R. Love  and
Angelina Byrne
E. R. Love
Affiliation:
University of MelbourneMelbourne State College
Angelina Byrne
Affiliation:
University of MelbourneMelbourne State College
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Extract

This paper is a continuation of (3), in which we proved extensions, to generalized Stieltjes transforms, of some inversion theorems of Widder(l) for ordinary Stieltjes transforms. The numbering of formulae, lemmas and theorems continues on consecutively from that in (3). The last formula in (3) is numbered (32), and the last lemma or theorem is Theorem 18.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 92 , Issue 2 , September 1982 , pp. 275 - 291
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

REFERENCES

(1)Widder, D. V.The Laplace Transform (Princeton, 1946).Google Scholar
(2)Byrne, A. and Love, E. R.Complex inversion theorems for generalized Stieltjes transforms. J. Australian math. Soc. 18 (1974), 328–358.CrossRefGoogle Scholar
(3)Love, E. R. and Byrne, A.Real inversion theorems for generalized Stieltjes transforms. J. London math. Soc. (2) 22 (1980), 285–306.CrossRefGoogle Scholar