Analyse relative
Annales scientifiques de l'Université de Clermont. Mathématiques, Volume 98 (1992) no. 28, p. 41-166
@article{ASCFM_1992__98_28_41_0,
     author = {Peraire, Yves},
     title = {Analyse relative},
     journal = {Annales scientifiques de l'Universit\'e de Clermont. Math\'ematiques},
     publisher = {UER de Sciences exactes et naturelles de l'Universit\'e de Clermont},
     volume = {98},
     number = {28},
     year = {1992},
     pages = {41-166},
     zbl = {0785.03046},
     mrnumber = {1216677},
     language = {fr},
     url = {http://www.numdam.org/item/ASCFM_1992__98_28_41_0}
}
Peraire, Yves. Analyse relative. Annales scientifiques de l'Université de Clermont. Mathématiques, Volume 98 (1992) no. 28, pp. 41-166. http://www.numdam.org/item/ASCFM_1992__98_28_41_0/

[1] S. Albeverio, J.E. Fenstad, R. Hoegh-Krohn and T. Lindstrom. Académic Press (1986). Nonstandard Methods in Stochastic Analysis and Mathemetical Physics. | MR 859372 | Zbl 0605.60005

[2] S. Bochner. A new approach of almost periodicity. Proceedings of the National Academy of Sciences U.S.A vol 48 (1962). | MR 145283 | Zbl 0112.31401

[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. 1973 North-Holland. | Zbl 0276.02032

[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 | MR 305035 | Zbl 0275.46023

[6] A.M. Fink. Almost Periodic Differential Equations. Lecture notes Springer n° 377. | Zbl 0325.34039

[7] P. Goodyear. Double enlargements of Topological Spaces, Zeitschr. f. mat. Logik und grundlagen d.Math. Bd 30,S.389-392 1984. | MR 766896 | Zbl 0587.54066

[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). | MR 216103 | Zbl 0144.08701

[10] L. Haddad. La double ultrapuissance. Séminaire d'analyse, Université de Clermont II, n°24 (1988). | MR 1088979 | Zbl 0697.03040

[11] L. Haddad. Introduction à l'analyse nonstandard Beyrouth Eté 1973. | Zbl 0356.46025

[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 | MR 773627 | Zbl 0601.46001

[13] C.W. Henson. When do two Banach spaces have isometrically isomorphic nonstandard hulls ? Israel Journal of Math. Vol. 22, No 1, 1975. | MR 385525 | Zbl 0314.46023

[14] C.W. Henson. Nonstandard Hulls of Banach Spaces. Israel Journal of Math. vol.25, 1976. | MR 461104 | Zbl 0348.46014

[15] C.W. Henson and L. Moore. Nonstandard analysis and the theory of Banach spaces. Lecture Notes n°983. (Springer ed.) 27-112 | MR 698954 | Zbl 0511.46070

[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. | MR 609651 | Zbl 0474.34039

[17] H.J. Keisler. Ultraproducts and saturated models, Proc. Acad. Sci. Amsterdam A67 (1964), 178-186. | MR 168483 | Zbl 0199.01101

[18] H.J. Keisler. Good Ideals in fields of sets, Ann. Math. 79 (1964), 338-359. | MR 166105 | Zbl 0137.00803

[19] J.L. Krivine. Théorie axiomatique des ensembles.Presses universitaires de France (1972). | MR 241286 | Zbl 0175.00601

[20] J.L. Krivine. Langages à valeurs réelles et applications. Fundamenta Mathematica LXXXI (1974) 213-253. | MR 349379 | Zbl 0292.02019

[21] O. Loos. A non standard approach to the Lebesgue integral. Analyse non standard et mathématiques finitaires. Publications de l'Université e Paris 7 (1989). | MR 1028787 | Zbl 0674.26010

[22] R. Lutz and M. Goze. Nonstandard analysis, a practical guide with applications. Lecture Notes in Math., N° 881 (1981). | MR 643624 | Zbl 0506.03021

[23] W.A.J. Luxemburg.A général theory of monads. Intern.Sympos.Pasadena,Calif, 1987 Holt, Rinehart and Winston, New-York, 1969 pp 18-86. | MR 244931 | Zbl 0207.52402

[24] A. Macintyre. Non-standard number theory. Proceedings of the International Congress of mathematicians, Helsinki 1978.

[25] M. Morley and R. Vaught. Homogeneous universal models, Math. Scand., II (1962), 37-57. | MR 150032 | Zbl 0112.00603

[26] E. Nelson. Internal Set Theory, B.A.M.S. 83, n° 6 nov. 1977. | MR 469763 | Zbl 0373.02040

[27] E. Nelson. The syntax of nonstandard analysis, Annals of Pure and Applied Logic, 38, (1988) 123-134. | MR 938372 | Zbl 0642.03040

[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. | MR 989892 | Zbl 0664.03043

[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. | MR 944401 | Zbl 0663.22012

[30] V. Pestov. On a'Super' Version of lie's Third Fundamental Theorem. Letters in Mathematical Physics 18: 27-33, 1989. | MR 1009520 | Zbl 0692.22010

[31] A. Robinson. Introduction to model theory and the metamathematics of algebra. Amsterdam, North-Holland, 1985. | MR 153570 | Zbl 0665.03017

[32] A. Robinson. Non-standard theory of Dedeking rings, Proc. Acad. Sci. Amsterdam A70, 1987,444-452. | MR 223351 | Zbl 0189.28501

[33] A. Robinson, E. Zakon. A Set-Theorical Characterization of enlargements. Intem. Sympos. Pasadena 1967. | Zbl 0193.30301

[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). | MR 1037545

[36] K. Yosida. Functional Analysis. Springer-Verlag Berlin Heildelberg, New York 1974. | MR 350358 | Zbl 0286.46002

[37] W.A. Veech. Almost automorphic functions on groups. American Journal of Mathematics, vol. 87 (1965) p.p. 1-33. | MR 187014 | Zbl 0137.05803