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Extinguishing the distinguished logarithm problems

Author(s): Mark Finkelstein; Howard G. Tucker; Jerry Alan Veeh
Journal: Proc. Amer. Math. Soc. 127 (1999), 2773-2777.
MSC (1991): Primary 60E10, 60E07, 60F05
Posted: April 23, 1999
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Abstract: The existence, uniqueness, and convergence properties of distinguished logarithms of multivariate characteristic functions are proved.

References:

1.: Y. S. Chow and H. Teicher, Probability Theory: Independence, Interchangeability, Martingales, Second Edition, Springer Verlag, New York, 1988. MR 89e:60001
2.: K. L. Chung, A Course in Probability, First Edition, Harcourt, Brace and World, New York, 1968. MR 37:4842
3.: W. F. Donoghue, Jr., Distributions and Fourier Transforms, Academic Press, New York, 1969.
4.: H. G. Tucker, A Graduate Course in Probability, Academic Press, New York, 1968. MR 36:4593

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Additional Information:

Mark Finkelstein
Affiliation: Department of Mathematics, University of California Irvine, Irvine, California 92697-3875
Email: mfinkels@uci.edu

Howard G. Tucker
Affiliation: Department of Mathematics, University of California Irvine, Irvine, California 92697-3875
Email: htucker@math.uci.edu

Jerry Alan Veeh
Affiliation: Department of Mathematics, Auburn University, Auburn, Alabama 36849-5307
Email: veehjer@mail.auburn.edu

DOI: 10.1090/S0002-9939-99-04836-4
PII: S 0002-9939(99)04836-4
Keywords: Distinguished logarithms, characteristic functions, infinitely divisible laws, logarithms
Received by editor(s): July 14, 1997
Received by editor(s) in revised form: December 1, 1997
Posted: April 23, 1999
Communicated by: Stanley Sawyer
Copyright of article: Copyright 1999, American Mathematical Society


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