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The quadratic form in the Lévy-Khinchin formula on semigroups

Author(s): Dragu Atanasiu
Journal: Proc. Amer. Math. Soc. 126 (1998), 1507-1514.
MSC (1991): Primary 43A35; Secondary 60B15
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Abstract: In this paper we obtain the quadratic form in the Lévy-Khinchin formula on a commutative involutive semigroup, with a neutral element, as a sum of two simpler quadratic forms.

References:

[1]: C. Berg, J. P. R. Christensen and P. Ressel, Harmonic analysis on semigroups, Springer, New York, Heidelberg and Berlin, 1984. MR 86b:43001
[2]: W. Bloom and P. Ressel, Positive definite and related functions on hypergroups, Canad. J. Math. 43 (1991), 242-254. MR 92i:43004
[3]: H. Buchwalter, Formes quadratiques sur un semi-groupe involutif, Math. Ann. 271 (1985), 619-639. MR 86i:43008
[4]: H. Buchwalter, Les foncitons de Lévy existent!, Math. Ann. 274 (1986), 31-34. MR 87e:43007
[5]: P. H. Maserick, A Lévy-Khinchin formula for semigroups with involution, Math. Ann. 236 (1978), 209-216. MR 58:12209

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Additional Information:

Dragu Atanasiu
Affiliation: Department of Mathematics, Chalmers University of Technology and Göteborg University, S-412 96 Göteborg, Sweden
Email: dragu@math.chalmers.se

DOI: 10.1090/S0002-9939-98-04268-3
PII: S 0002-9939(98)04268-3
Keywords: Negative definite function, involutive semigroup, Radon measure, L\'evy-Khinchin formula, quadratic form
Received by editor(s): November 7, 1996
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1998, American Mathematical Society


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