AMS - American Mathematical Society
JSL - Journal of Symbolic Logic
NSA - Nonstandard analysis
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Albeverio S, Fenstad J and Hoegh-Krohn R (1979) singular perturbations and NSA. Trans AMS 252 pp 275-295
Anderson R and Rashid S (1978) A nonstandard characterisation of weak convergence. Proceedings of the AMS 69 pp 327-332
Anderson R (1982) Star-finite representations of measure spaces. Transactions of the AMS 271 pp 667-687
Anderson R (1986) Almost implies near. Trans. of the AMS 296 pp 229-237
Bellenot S (1976) On nonstandard hulls of convex spaces. Canadian Journal of Mathematics 28 pp 141-147
Bernstein A and Robinson A (1966) Solution of an invariant subspace problem of K.T. Smith and P.R. Halmos. Pacific J. Math 16 pp 421-431
Button R (1976) Monads for regular and normal spaces. Notre Dame J. of formal logic 17 pp 449-456
Button R (1977) When do *continous extensions exist? Notre Dame J. of formal logic 18 pp 406-408
Cartier P (1982) Perturbations singulières des equations differentielles ordinaire et analyse non-standard. Asterisque 92-93 pp 21-44
Cutland N (1983) Nonstandard measure theory and its applications. Bulletin of the London Math. Soc. 15 pp 529-589
Diener F and Diener M (1988) Some asymptotic results in ODEs; in NSA and its applications. Cutland N ed Cam. U. Press.
Diener M (1984) The canard unchained or How fast/slow dynamical systems bifurcate. Mathematical Intelligencer Vol 6, No. 3 pp 38-49
Dyre J (1982) Non-standard characterizations of ideals in C(X). Math. Scand. 50 pp 44-54
Farkas E and Szabo M (1984) On the plausibility of nonstandard proofs in analysis. Dialectica 38 pp 297-310
Gordon E (1997) Nonstandard methods in commutative harmonic analysis. Translations of Mathematical Monographs Volume 164, AMS.
Henson C.W. and Moore Jr L (1972) The nonstandard theory of topological vector spaces. Transactions of the AMS 172 pp 405-435
Henson C.W. and Moore Jr L (1973) Invariance of the nonstandard hulls of locally convex spaces. Duke Math. Journal 40 pp 193-205
Henson C.W. (1974) The isomorphism property in NSA and its use in the theory of Banach spaces JSL 39 pp 717-731
Henson C.W. (1975) When do two Banach spaces have isometrically isomorphic nonstandard hulls? Israel J. of Math. 22 pp 57-67
Henson C.W. (1979) Analytic sets, Baire sets, and the standard part map. Canadian J. of Math. 31 pp 663-672
Henson C.W. (1988) Infinitesimals in functional analysis; in NSA and its applications. Cutland N ed. Camb. Univ. Press.
Henson C.W. (1991) Unbounded Loeb measures. Proceedings of the AMS 74 pp 143-150
Kreisel G (1969) Axiomatisations of NSA that are conservative extensions of formal systems for classical standard analysis; in Applications of model theory to algebra, analysis and prob. (Luxemburg W ed) Holt, Rinehart and Winstion NY 1969 pp 93-106
Kudryk T, Lyantse V and Chuiko G (1993) Nearstandardness on finite set. Matematychni Studii, 2, 25-34.
Kudryk T, Lyantse V and Chuiko G (1994) Nearstandard operators. Mat. St., 3, 29-40.
Kudryk T and Lyantse V (1997) Operator-valued charges on finite sets. Mat. St., 7, #2, 145-156.
Loeb P (1973) A combinatorial analogue of Lyapunov's theorem for infinitesimally generated atomic vector measures. Proceedings of the AMS 39 pp 585-586
Loeb P (1976) Applications of NSA to ideal boundaries in potential theory. Israel J. Math 25 pp 154-187
Loeb P (1979) Weak limits of measures and the standard part map. Proc. AMS 77 pp 128-135
Loeb P (1984) A functional approach to nonstandard measure theory. Contemporary Math. 26 pp 251-261
Loeb P (1985) A nonstandard functional approach to Fubini's theorem. Proc AMS 93 #2 pp 343-346
Loeb P (1988) A lattice formulation of real and vector valued integrals; in NSA and its applications, Cutland N ed. Cambridge U. Press.
Lutz R (1983) L'intrusion de l'analyse nonstandard dans l'é&tude des perturbations singuliè&res. Asté&risque 109-110 pp 101-139
Lutz R and Sari T (1982) Applications of NSA to boundary value problems in singular theory; in Lecture notes in Math. 942 Springer 113-135
Lyantse V (1989) On a perturbation that is infinitely small in the strong operator topology. Ukrainian Math. J., 41, 845-847.
Moore L (1976) Hyperfinite extensions of bounded operators on a seperable Hilbert space. Trans. AMS 218 pp 285-295
Moore S (1982) NSA applied to path integral. Nuovo Cim. B 70 pp 227-290
Murakami H, Nakagiri S and Yeh C (1983) Asymptotic behaviour of solutions of nonlinear differential equations with deviating arguments via NSA. Ann. Pol. Math. 41 pp 203-208
Oikkonen J (1985) Harmonic-Analysis and nonstandard Brownian-motion in the plane. Mathematica Scandinavica 57 #2 pp 346-358
Raskovic M (1985) An application of NSA to functional equations. Publ. Inst. Math. Nouv. Sci. 37 pp 23-24
Robert A (1995) Functional analysis and NSA; in Devel. in nonstandard math. (ed Cutland N and Neves V) Longman.
Stroyan K (1983) Locally convex infinitesimal calculus. Two computations on Mackey (L-infinity). J. of functional analysis 53 #1 pp 1-15
Stroyan K (1988) Superinfinitesimals and inductive limits; in NSA and its applications. Cutland N ed. Cam. U. Press.
Troesch A and Urlacher E (1978) Perturbations singuliè&res et analyse non standard. C.R. Acad. Sc. Paris 287 pp 937-939
Tuckey C (1993) Nonstandard Methods in the Calculus of Variations. Pitman Research Notes in Mathematics 297, Longman House (Addison Wesley Longman) Harlow, Essex. Originally copublished in the United States by John Wiley and Sons, 1993.
Van Den Berg, Imme (1987) Nonstandard asymptotic analysis. Lecture Notes in Math. 1249, Springer-Verlag
Wattenberg F (1977) Nonstandard measure theory - Hausdorff measure. Proc. AMS 65
Zvonkin A and Shubin M (1984) NSA and singular perturbations of ODEs. Russian Math. Surveys 39 #2 pp 69-131