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A New Representation and Inversion Theory for the Laplace Transformation

Published online by Cambridge University Press:  20 November 2018

P. G. Rooney
P. G. Rooney*
Affiliation:
University of Alberta
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In the literature, considerable attention has been devoted to the study of inversion operators for the Laplace transformation. In particular, much interest attaches to “real” inversion operators, i.e., operators which make use of the values of the generating function arising only from real values of the independent variable. Several of these operators are known (see for example Widder [3, chap. 7, §6; chap. 8, §25], Hirschman [2]).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 4 , 1952 , pp. 436 - 444
Copyright
Copyright © Canadian Mathematical Society 1952

References

1. Erdélyi, A., The inversion of the Laplace transformation, Math. Mag., vol. 29 (1950-51).Google Scholar
2. Hirschman, I. I. Jr., A new representation and inversion theory for the Laplace integral, Duke Math. J., vol. 15 (1948).Google Scholar
3. Widder, D. V., The Laplace transformation (Princeton, 1941).Google Scholar