Analyse relative

Yves Peraire

Annales scientifiques de l'Université de Clermont. Mathématiques (1992)

  • Volume: 98, Issue: 28, page 41-166
  • ISSN: 0249-7042

How to cite

top

Peraire, 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. [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. [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. [3] N. Bourbaki.Eléments de Mathématiques II Chapitres 1- Structures topologiques. Chapitre 2- Structures uniformes. Ed. Hermann. 
  4. [4] C.C. Chang, H.J. Keisler.Model theory. 1973North-Holland. Zbl0276.02032
  5. [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. [6] A.M. Fink.Almost Periodic Differential Equations. Lecture notes Springer n° 377. Zbl0325.34039
  7. [7] P. Goodyear.Double enlargements of Topological Spaces, Zeitschr. f. mat. Logik und grundlagen d.Math. Bd 30,S.389-3921984. Zbl0587.54066MR766896
  8. [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. [9] A. Halanay.Differential equations. Academic Press (1966). Zbl0144.08701MR216103
  10. [10] L. Haddad.La double ultrapuissance. Séminaire d'analyse, Université de Clermont II, n°24 (1988). Zbl0697.03040MR1088979
  11. [11] L. Haddad.Introduction à l'analyse nonstandard Beyrouth Eté1973. Zbl0356.46025
  12. [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. [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. [14] C.W. Henson.Nonstandard Hulls of Banach Spaces. Israel Journal of Math. vol.25, 1976. Zbl0348.46014MR461104
  15. [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. [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. [17] H.J. Keisler.Ultraproducts and saturated models, Proc. Acad. Sci. AmsterdamA67 (1964), 178-186. Zbl0199.01101MR168483
  18. [18] H.J. Keisler.Good Ideals in fields of sets, Ann. Math.79 (1964), 338-359. Zbl0137.00803MR166105
  19. [19] J.L. Krivine.Théorie axiomatique des ensembles.Presses universitaires de France (1972). Zbl0175.00601MR241286
  20. [20] J.L. Krivine.Langages à valeurs réelles et applications. Fundamenta MathematicaLXXXI (1974) 213-253. Zbl0292.02019MR349379
  21. [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. [22] R. Lutz and M. Goze.Nonstandard analysis, a practical guide with applications. Lecture Notes in Math., N° 881 (1981). Zbl0506.03021MR643624
  23. [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. [24] A. Macintyre.Non-standard number theory. Proceedings of the International Congress of mathematicians, Helsinki1978. 
  25. [25] M. Morley and R. Vaught.Homogeneous universal models, Math. Scand., II (1962), 37-57. Zbl0112.00603MR150032
  26. [26] E. Nelson.Internal Set Theory, B.A.M.S.83, n° 6 nov. 1977. Zbl0373.02040MR469763
  27. [27] E. Nelson.The syntax of nonstandard analysis, Annals of Pure and Applied Logic, 38, (1988) 123-134. Zbl0642.03040MR938372
  28. [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. [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. [30] V. Pestov.On a'Super' Version of lie's Third Fundamental Theorem. Letters in MathematicalPhysics18: 27-33, 1989. Zbl0692.22010MR1009520
  31. [31] A. Robinson.Introduction to model theory and the metamathematics of algebra. Amsterdam, North-Holland, 1985. Zbl0665.03017MR153570
  32. [32] A. Robinson.Non-standard theory of Dedeking rings, Proc. Acad. Sci. AmsterdamA70, 1987,444-452. Zbl0189.28501MR223351
  33. [33] A. Robinson, E. Zakon.A Set-Theorical Characterization of enlargements. Intem. Sympos. Pasadena1967. Zbl0193.30301
  34. [34] A. Robinson.Non-Standard Analysis,2nd ed., American Elsevier,New York, 1974. 
  35. [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. [36] K. Yosida.Functional Analysis. Springer-VerlagBerlinHeildelberg, New York1974. Zbl0286.46002MR350358
  37. [37] W.A. Veech.Almost automorphic functions on groups. American Journal of Mathematics, vol. 87 (1965) p.p. 1-33. Zbl0137.05803MR187014

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.