Chebyshev measures
HTML articles powered by AMS MathViewer
- by Raphaël Cerf and Carlo Mariconda
- Proc. Amer. Math. Soc. 125 (1997), 3321-3329
- DOI: https://doi.org/10.1090/S0002-9939-97-04095-1
- PDF | Request permission
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.References
- Raphaël Cerf and Carlo Mariconda, On bang-bang constrained solutions of a control system, SIAM J. Control Optim. 33 (1995), no. 2, 554–567. MR 1318664, DOI 10.1137/S0363012992242034
- Raphaël Cerf and Carlo Mariconda, Oriented measures with continuous densities and the bang-bang principle, J. Funct. Anal. 126 (1994), no. 2, 476–505. MR 1305077, DOI 10.1006/jfan.1994.1155
- R. Cerf – C. Mariconda, Oriented measures, J. Math. Anal. Appl. 197 (1996), 925–944.
- Samuel Karlin and William J. Studden, Tchebycheff systems: With applications in analysis and statistics, Pure and Applied Mathematics, Vol. XV, Interscience Publishers John Wiley & Sons, New York-London-Sydney, 1966. MR 0204922
- M. G. Kreĭn and A. A. Nudel′man, The Markov moment problem and extremal problems, Translations of Mathematical Monographs, Vol. 50, American Mathematical Society, Providence, R.I., 1977. Ideas and problems of P. L. Čebyšev and A. A. Markov and their further development; Translated from the Russian by D. Louvish. MR 0458081
- N. G. Lloyd, Degree theory, Cambridge Tracts in Mathematics, No. 73, Cambridge University Press, Cambridge-New York-Melbourne, 1978. MR 0493564
- R.T. Rockafeller, Convex Analysis, Princeton University Press, Princeton, New Jersey, 1972.
Bibliographic Information
- Raphaël Cerf
- Affiliation: Université Paris sud, Mathématiques, bâtiment 425, 91405 Orsay Cedex, France
- MR Author ID: 349311
- 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
- 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
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3321-3329
- MSC (1991): Primary 41A50, 46G10, 52A20
- DOI: https://doi.org/10.1090/S0002-9939-97-04095-1
- MathSciNet review: 1422852