The result of transformation of a function defined for and vanishing when , into the function
where is a complex variable. The inversion formula is
The difference between the Carson transform of and its Laplace transform is the presence of the factor .
|[a1]||D.V. Widder, "The Laplace transform" , Princeton Univ. Press (1972)|
|[a2]||G. Doetsch, "Introduction to the theory and application of the Laplace transformation" , Springer (1974) (Translated from German)|
Carson transform. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Carson_transform&oldid=17141