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Certain Fourier Transforms of Distributions

Published online by Cambridge University Press:  20 November 2018

Eugene Lukacs  and
Otto Szasz
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Fourier transforms of distribution functions are frequently studied in the theory of probability. In this connection they are called characteristic functions of probability distributions. It is often of interest to decide whether a given function φ(t) can be the characteristic function of a probability distribution, that is, whether it admits the representation

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 3 , 1951 , pp. 140 - 144
Copyright
Copyright © Canadian Mathematical Society 1951

References

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