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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Chebyshev measures


Authors: Raphaël Cerf and Carlo Mariconda
Journal: Proc. Amer. Math. Soc. 125 (1997), 3321-3329
MSC (1991): Primary 41A50, 46G10, 52A20
MathSciNet review: 1422852
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Abstract: We introduce Chebyshev measures. We generalize the representation theorem concerning both measures admitting a density function which is a $T$-system and oriented measures.


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Additional Information

Raphaël Cerf
Affiliation: Université Paris sud, Mathématiques, bâtiment 425, 91405 Orsay Cedex, France
Email: Raphael.Cerf@math.u-psud.fr

Carlo Mariconda
Affiliation: Dipartimento di Matematica pura e applicata, Università di Padova, 7 via Belzoni, 35131 Padova, Italy
Email: mariconda@math.unipd.it

DOI: http://dx.doi.org/10.1090/S0002-9939-97-04095-1
PII: S 0002-9939(97)04095-1
Keywords: Oriented measure, vector measure, Lyapunov, Chebyshev, $T$--system
Received by editor(s): August 29, 1995
Received by editor(s) in revised form: June 13, 1996
Additional Notes: The second author (C.M.) was supported by a Grant of the Consiglio Nazionale delle Ricerche (Grant 203.01.62).
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1997 American Mathematical Society