Factorisation of characteristic functions on noncommutative groups
HTML articles powered by AMS MathViewer
- by Aubrey Wulfsohn PDF
- Proc. Amer. Math. Soc. 86 (1982), 287-292 Request permission
Abstract:
A characteristic function, without idempotent factors, on a separable compact group is decomposed, modulo characters, as a product of indecomposable characteristic functions and an infinitely divisible characteristic function.References
- Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. II: Structure and analysis for compact groups. Analysis on locally compact Abelian groups, Die Grundlehren der mathematischen Wissenschaften, Band 152, Springer-Verlag, New York-Berlin, 1970. MR 0262773 A. I. Khinchin, Contribution à l’arithmétique des lois de distribution, Bull. Univ. Etat Moscow 1 (1937), 6-17.
- K. R. Parthasarathy, R. Ranga Rao, and S. R. S. Varadhan, Probability distributions on locally compact abelian groups, Illinois J. Math. 7 (1963), 337–369. MR 190968
- K. R. Parthasarathy, Probability measures on metric spaces, Probability and Mathematical Statistics, No. 3, Academic Press, Inc., New York-London, 1967. MR 0226684
- K. R. Parthasarathy, Infinitely divisible representations and positive definite functions on a compact group, Comm. Math. Phys. 16 (1970), 148–156. MR 271638
- Klaus Schmidt, Limits of uniformly infinitesimal families of projective represerntations of locally compact groups, Math. Ann. 192 (1971), 107–118. MR 288800, DOI 10.1007/BF02052755
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 287-292
- MSC: Primary 60B15; Secondary 43A35, 46L50
- DOI: https://doi.org/10.1090/S0002-9939-1982-0667291-2
- MathSciNet review: 667291