Prokhorov

Dmitri

Valentinovich

1. Asymptotic conformal welding via Loewner-Kufarev evolution.// Computational Methods and Function Theory. V.13. No.1.2013. P. 37-46.
2. Harmonic measures of sides of a slit perpendicular to the domain boundary// Journal of Mathematical Analysis and Applications. V.394. No.2. 2012. P. 738-743. (with Zakharov A.)
3. Non-slit and singular solutions to the Loewner equation.// Bulletin des Sciences Mathematiques. V.136. No.3. 2012. P. 328-341. (with Ivanov G., Vasiliev A.)
4. Prokhorov D. Conformal welding for domains close to a disk. Analysis and Mathematical Physics, V.1, No.2, 2011, 101-114.
5. The Loewner-Kufarev representation for domains with analytic boundaries.// Annales Universitatis Mariae Curie-Sklodowska. Sectio A: Mathematica. V.65. No.2. 2011. P. 139-148.
6. Sub-Riemannian geometry of the coefficients of univalent functions. // Journal of Functional Analysis. V.245. No.2. 2007. P.  475-492. (with Markina I., Vasiliev A.)
7. Univalent functions and integrated systems.// Communications in Mathematical Physics. V.262. 2006. P. 393-410. (with Vasiliev A.)
8. Optimal control in Bombieri’s and Tammi’s conjectures.// Georgian Mathematical Journal. V.12. No.4. 2005. P. 698-717. (with Vasiliev A.)
9. Infinite lifetime for the starlike dynamics in Hele-Shaw cells. // Proceedings of the American Mathematical Society. V.132. No.9. 2004. P. 2661-2669. (with Gustafsson B., Vasiliev A.)
10. On the local extremum property of the Koebe function.// Mathematical Proceedings of the Cambridge Philosophical Society. V.136. 2004. P. 301-312. (with Roth O.)
11. Directional convexity of level lines for functions convex in a given direction.// Proceedings of the American Mathematical Society. V.131. No.5. 2003. P. 1453-1457. (with Szynal J.)
12. Extremal slit mappings for linear functionals.//  Rocky Mountain Journal. V.33. No.3. 2003. P. 1039-1047.
13. Convex dynamics in Hele-Shaw cells.// International Journal of Mathematics and Mathematical Sciences. V.31. No.11. 2002. P. 639-650. (with Vasiliev A.)
14. Bounded univalent functions. // Handbook of Complex Analysis. V.1: Geometric Gunction Theory. Elsevier Science. 2002. P. 207-228.
15. Necessary conditions for the extremality of the Pick function. // Scientia. Ser.A: Mathematical Sciences. V.8. 2002. P. 43-51.
16. The composition of hyperbolic triangle mappings. // Complex Variables: Theory and Applications. V.43. 2000. P. 179-186. (with Michalska M., Szynal J.)
17. Proof of a coefficient product conjecture for bounded univalent functions.// Complex Variables: Theory and Applications. V.42. 2000. P. 241-258. (with Jakubowski Z., Szynal J.)
18. A coefficient product estimate for bounded univalent functions.// Annale Universitatis Mariae Curie-Sklodowska, Sectio A: Mathematica. V.54. 2000. P. 27-44. (with Ganczar A., Szynal J.)
19. Coefficients of functions close to the identity function.// Complex Variables: Theory and Applications. V.33. 1997. P. 255-263.
20. Coefficient products for bounded univalent functions.// Complex Variables: Theory and Applications. V.27. 1995. P. 211-226.
21. Even coefficient estimates for bounded univalent functions. //Annales Polonici Mathematici. V.58. No.3. 1993. P. 267-273.
22. Coefficient estimates for bounded nonvanishing functions.// Bulletin de l’Academie Polonaise des Sciences. Serie des sciences mathematiques. V.29. No.5-6. 1981. P. 223-230. (with Szynal J.)

Textbooks:

1. Linear Vector Space. Functions of Many Variables
2. Functional Sequences and Series