Analyse relative
Annales scientifiques de l'Université de Clermont. Mathématiques (1992)
- Volume: 98, Issue: 28, page 41-166
- ISSN: 0249-7042
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topPeraire, Yves. "Analyse relative." Annales scientifiques de l'Université de Clermont. Mathématiques 98.28 (1992): 41-166. <http://eudml.org/doc/80597>.
@article{Peraire1992,
author = {Peraire, Yves},
journal = {Annales scientifiques de l'Université de Clermont. Mathématiques},
keywords = {relative internal set theory; external quantifier; topological spaces; almost-periodic functions; relative standardness; almost-automorphic functions},
language = {fre},
number = {28},
pages = {41-166},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {Analyse relative},
url = {http://eudml.org/doc/80597},
volume = {98},
year = {1992},
}
TY - JOUR
AU - Peraire, Yves
TI - Analyse relative
JO - Annales scientifiques de l'Université de Clermont. Mathématiques
PY - 1992
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 98
IS - 28
SP - 41
EP - 166
LA - fre
KW - relative internal set theory; external quantifier; topological spaces; almost-periodic functions; relative standardness; almost-automorphic functions
UR - http://eudml.org/doc/80597
ER -
References
top- [1] S. Albeverio, J.E. Fenstad, R. Hoegh-Krohn and T. Lindstrom.Académic Press (1986). Nonstandard Methods in Stochastic Analysis and Mathemetical Physics. Zbl0605.60005MR859372
- [2] S. Bochner.A new approach of almost periodicity. Proceedings of the National Academy of Sciences U.S.A vol 48 (1962). Zbl0112.31401MR145283
- [3] N. Bourbaki.Eléments de Mathématiques II Chapitres 1- Structures topologiques. Chapitre 2- Structures uniformes. Ed. Hermann.
- [4] C.C. Chang, H.J. Keisler.Model theory. 1973North-Holland. Zbl0276.02032
- [5] D. Dacunha-Castell et J.L. Krivine.Application des ultraproduits à l'étude des espaces et des algèbres de Banach. Studia Mathematica T.XLI (1972) 315-334 Zbl0275.46023MR305035
- [6] A.M. Fink.Almost Periodic Differential Equations. Lecture notes Springer n° 377. Zbl0325.34039
- [7] P. Goodyear.Double enlargements of Topological Spaces, Zeitschr. f. mat. Logik und grundlagen d.Math. Bd 30,S.389-3921984. Zbl0587.54066MR766896
- [8] E.I. Gordon.Relatively standard elements in the theory of internal sets of E.Nelson. Siberian Mathematical Journal, vol. XXX n°1 (1989).
- [9] A. Halanay.Differential equations. Academic Press (1966). Zbl0144.08701MR216103
- [10] L. Haddad.La double ultrapuissance. Séminaire d'analyse, Université de Clermont II, n°24 (1988). Zbl0697.03040MR1088979
- [11] L. Haddad.Introduction à l'analyse nonstandard Beyrouth Eté1973. Zbl0356.46025
- [12] S. Heinrich.Ultrapowers of Locally Convex Spaces and Applications: I Math. Nachr.118(1984)285-315 et II Math. Nachr.121 (1985) 211-229 Zbl0601.46001MR773627
- [13] C.W. Henson.When do two Banach spaces have isometrically isomorphic nonstandard hulls ? Israel Journal of Math. Vol. 22, No 1, 1975. Zbl0314.46023MR385525
- [14] C.W. Henson.Nonstandard Hulls of Banach Spaces. Israel Journal of Math. vol.25, 1976. Zbl0348.46014MR461104
- [15] C.W. Henson and L. Moore.Nonstandard analysis and the theory of Banach spaces. Lecture Notes n°983. (Springer ed.) 27-112 Zbl0511.46070MR698954
- [16] R. Johnson.A Linear, Almost Periodic Equation with an Almost Automorphic Solution.Proceedings of the A.M.S. Vol 82, N° 2, June 1981. Zbl0474.34039MR609651
- [17] H.J. Keisler.Ultraproducts and saturated models, Proc. Acad. Sci. AmsterdamA67 (1964), 178-186. Zbl0199.01101MR168483
- [18] H.J. Keisler.Good Ideals in fields of sets, Ann. Math.79 (1964), 338-359. Zbl0137.00803MR166105
- [19] J.L. Krivine.Théorie axiomatique des ensembles.Presses universitaires de France (1972). Zbl0175.00601MR241286
- [20] J.L. Krivine.Langages à valeurs réelles et applications. Fundamenta MathematicaLXXXI (1974) 213-253. Zbl0292.02019MR349379
- [21] O. Loos.A non standard approach to the Lebesgue integral. Analyse non standard et mathématiques finitaires. Publications de l'Université e Paris7 (1989). Zbl0674.26010MR1028787
- [22] R. Lutz and M. Goze.Nonstandard analysis, a practical guide with applications. Lecture Notes in Math., N° 881 (1981). Zbl0506.03021MR643624
- [23] W.A.J. Luxemburg.A général theory of monads. Intern.Sympos.Pasadena,Calif, 1987Holt, Rinehart and Winston, New-York, 1969 pp 18-86. Zbl0207.52402MR244931
- [24] A. Macintyre.Non-standard number theory. Proceedings of the International Congress of mathematicians, Helsinki1978.
- [25] M. Morley and R. Vaught.Homogeneous universal models, Math. Scand., II (1962), 37-57. Zbl0112.00603MR150032
- [26] E. Nelson.Internal Set Theory, B.A.M.S.83, n° 6 nov. 1977. Zbl0373.02040MR469763
- [27] E. Nelson.The syntax of nonstandard analysis, Annals of Pure and Applied Logic, 38, (1988) 123-134. Zbl0642.03040MR938372
- [28] Y. Péraire et G. Wallet.Une théorie relative des ensembles internes. C.R.Acad.Sci. Paris,t.308, Série I, p.301-304,1989. Zbl0664.03043MR989892
- [29] V. Pestov.Fermeture non standard des groupes et algèbres de Lie banachiques. C.R.Acad.Sci. Paris,t.306, Série I, p.643-645,1988. Zbl0663.22012MR944401
- [30] V. Pestov.On a'Super' Version of lie's Third Fundamental Theorem. Letters in MathematicalPhysics18: 27-33, 1989. Zbl0692.22010MR1009520
- [31] A. Robinson.Introduction to model theory and the metamathematics of algebra. Amsterdam, North-Holland, 1985. Zbl0665.03017MR153570
- [32] A. Robinson.Non-standard theory of Dedeking rings, Proc. Acad. Sci. AmsterdamA70, 1987,444-452. Zbl0189.28501MR223351
- [33] A. Robinson, E. Zakon.A Set-Theorical Characterization of enlargements. Intem. Sympos. Pasadena1967. Zbl0193.30301
- [34] A. Robinson.Non-Standard Analysis,2nd ed., American Elsevier,New York, 1974.
- [35] T. Sari.Fonctions presque-périodiques. Actes de l'école d'été d'Oran les Andalouses 8-12 Septembre 1984. Editions C.N.R.S. (Paris) et O.P.U. (Alger). MR1037545
- [36] K. Yosida.Functional Analysis. Springer-VerlagBerlinHeildelberg, New York1974. Zbl0286.46002MR350358
- [37] W.A. Veech.Almost automorphic functions on groups. American Journal of Mathematics, vol. 87 (1965) p.p. 1-33. Zbl0137.05803MR187014
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