|
|
|
|
| 1. |
Becherer D., “The numéraire portfolio for unbounded semimartingales”, Finance Stoch., 5:3 (2001), 327–341    |
| 2. |
Богачев В. И., Основы теории меры, т. 1, НИЦ “Регулярная и хаотическая динамика”, М., Ижевск, 2003, 544 с. |
| 3. |
Brannath W., Schachermayer W., “A bipolar theorem for $L^0_+(\Omega,\mathcal F,\mathbb P)$”, Lecture Notes in Math., 1709, 1999, 349–354 |
| 4. |
Cassese G., Yan theorem in $L^\infty$ with applications to asset pricing, Preprint, 2005 ; Acta Math. Appl. Sin. Engl. Ser., 23:4 (2007), 551–562  |
| 5. |
Christensen M. M., Larsen K., “No arbitrage and the growth optimal portfolio”, Stoch. Anal. Appl., 25:1 (2007), 255–280 |
| 6. |
Cvitanić J., Schachermayer W., Wang H., “Utility maximization in incomplete markets with random endowment”, Finance Stoch., 5:2 (2001), 259–272 |
| 7. |
Данфорд Н., Шварц Дж. Т., Линейные операторы, т. I, Общая теория, ИЛ, М., 1962 |
| 8. |
Delbaen F., “Representing martingale measures when asset prices are continuous and
bounded”, Math. Finance, 2:2 (1992), 107–130 |
| 9. |
Delbaen F., Schachermayer W., “A general version of the fundamental theorem of asset pricing”, Math. Ann., 300:3 (1994), 463–520 |
| 10. |
Delbaen F., Schachermayer W., “The no-arbitrage property under a change of numéraire”, Stoch. Stoch. Rep., 53:3–4 (1995), 213–226 |
| 11. |
Delbaen F., Schachermayer W., The Mathematics of Arbitrage, Springer, Berlin, 2006 |
| 12. |
Evstigneev I. V., Schürger K., Taksar M. I., “On the fundamental theorem of asset pricing: random constraints and
bang-bang no-arbitrage criteria”, Math. Finance, 14:2 (2004), 201–221 |
| 13. |
Föllmer H., Kramkov D., “Optional decompositions under constraints”, Probab. Theory Related Fields, 109:1 (1997), 1–25 |
| 14. |
Jacod J., Shiryaev A. N., “Local martingales and the fundamental asset pricing theorems in the
discrete-time case”, Finance Stoch., 2:3 (1998), 259–273 |
| 15. |
Kabanov Yu. M., “On the FTAP of Kreps–Delbaen–Schachermayer”, Statistics and Control of Stochastic Processes. The Liptser Festschrift, eds. Yu. M. Kabanov et al., World Scientific, River Edge, 1997, 191–203 |
| 16. |
Kabanov Yu. M., “Arbitrage theory”, Handbook of Mathematical Finance. Option Pricing, Interest Rates and
Risk Management, Cambridge Univ. Press, Cambridge, 2001, 3–42 |
| 17. |
Kabanov Y., Stricker C., “Remarks on the true no-arbitrage property”, Lecture Notes in Math., 1857, 2005, 186–194 |
| 18. |
Karatzas I., Kardaras C., “The numéraire portfolio in semimartingale financial models”, Finance Stoch., 11:4 (2007), 447–493 |
| 19. |
Karatzas I., Shreve S. E., Methods of Mathematical Finance, Springer, New York, 1998, 407 pp. |
| 20. |
Karatzas I., Žitković G., “Optimal consumption from investment and random endowment in incomplete
semimartingale markets”, Ann. Probab., 31:4 (2003), 1821–1858 |
| 21. |
Korn R., “Value preserving strategies and a general framework for local
approaches to optimal portfolios”, Math. Finance, 10:2 (2000), 227–241 |
| 22. |
Kramkov D., Schachermayer W., “The asymptotic elasticity of utility functions and optimal investment
in incomplete markets”, Ann. Appl. Probab., 9:3 (1999), 904–950 |
| 23. |
Kreps D. M., “Arbitrage and equilibrium in economies with infinitely many commodities”, J. Math. Econom., 8:1 (1981), 15–35 |
| 24. |
Pham H., Touzi N., “The fundamental theorem of asset pricing with cone constraints”, J. Math. Econom., 31:2 (1999), 265–279 |
| 25. |
Platen E., “A benchmark approach to finance”, Math. Finance, 16:1 (2006), 131–151 |
| 26. |
Рохлин Д. Б., “Расширенная версия теоремы Даланга–Мортона–Виллинджера при выпуклых
ограничениях на портфель”, Теория вероятн. и ее примен., 49:3 (2004), 503–521  |
| 27. |
Rokhlin D. B., “The Kreps–Yan theorem for $L^\infty$”, Int. J. Math. Math. Sci., 2005:17 (2005), 2749–2756 |
| 28. |
Rokhlin D., Schachermayer W., “A note on lower bounds of martingale measure densities”, Illinois J. Math., 50:4 (2006), 815–824 |
| 29. |
Schachermayer W., “Martingale measures for discrete-time processes with infinite horizon”, Math. Finance, 4:1 (1994), 25–55 |
| 30. |
Schachermayer W., “No arbitrage: on the work of David Kreps: “Arbitrage and equilibrium
in economies with infinitely many commodities””, Positivity, 6:3 (2002), 359–368 |
| 31. |
Schweizer M., “Martingale densities for general asset prices”, J. Math. Econom., 21:4 (1992), 363–378 |
| 32. |
Stricker C., “Arbitrage et lois de martingale”, Ann. Inst. H. Poincaré, 26:3 (1990), 451–460 |
| 33. |
Žitković G., “A filtered version of the bipolar theorem of Brannath and Schachermayer”, J. Theoret. Probab., 15:1 (2002), 41–61 |
