Elin Mark

ילין מרק

Office:      room A5-701
Tel:           972-4-9901812
Fax:          972-4-9901802
E-mail:     elin_mark@hotmail.com

Education

M. Sc.  Mathematics, 1983, Krasnoyarsk State University, USSR

Ph. D.  Physics and Mathematics, 1988, Institute of Physics, Siberian Branch of the Academy of Sciences of the USSR

Present position

2002 present    Senior Lecturer, ORT Braude College, Karmiel, Israel

Current Scientific interests: Complex Analysis, Evolution Equations

The following results were obtained:

1)      Parametric representations of semigroup generators on the unit ball;

2)      Asymptotic estimates of semigroups of holomorphic and nonexpansive mappings;

3)      Continuous version of the Julia-Wolff-Caratheodory Theorem;

4)      Characteristics of spirallike and starlike functions with respect to a boundary point.

Selected publications:

1. On some classes of holomorphic functions connected with Hadamard product,

Complex Analysis and Differential Equations, Krasnoyarsk, 1997 (Russian).

2. Parametric representations of semi-complete vector fields on the unit ball in Cⁿ and in

Hilbert space, Rend. Mat. Acc. Lincei, 10 4 (1999) p. 229-253 (with   D. Aharonov, S. Reich and D. Shoikhet).

3. Asymptotic behavior of semigroups of holomorphic mappings, Progress in Nonlinear Differential Equations and Their Applications, Birkhauser, Basel, 42 (2000) p. 249-258 (with S. Reich and D. Shoikhet).

4. Holomorphically accretive mappings and spiral-shaped functions of proper contractions, Nonlinear Analysis Forum, 5 (2000) p. 149-161 (with S. Reich and D. Shoikhet).

5. A Semigroup Approach to the Geometry of Domains in Complex Banach Spaces, Nonlinear Analysis, 47 (2001) p. 3271-3280 (with S. Reich and D. Shoikhet)

6.  Dynamic extension of the Julia-Wolff-Caratheodory Theorem, Dynamic Systems and Applications 10 (2001),

            421-438 (with D. Shoikhet).      Dynamics of Inequalities in Geometric Function Theory, Journ. of Inequal. & Appl., 6 (2001),

            651-664 (with S. Reich and D. Shoikhet).     

7.  Evolution Equations and Geometric Function Theory in J*-algebras, Journ. of Nonlinear and Convex Anal., 3 (2002), 81-121 (with L. Harris,  S. Reich and D. Shoikhet)..

8.  Univalent functions of proper contractions spirallike with respect to a boundary point, Multidimensional Complex Analysis, Krasnoyarsk, 2002, 28-36 (with D. Shoikhet).

9.  Asymptotic behavior of semigroups of ρ-non-expansive and holomorphic mappings on the Hilbert ball, Ann. Mat. Pura Appl. (4) 181 (2002), 501-526 (with S. Reich and D. Shoikhet).

10.  Fractional iteration and functional equations for functions analytic in the unit disk, Computational Methods and Function Theory 2 (2002), 353-366 (with V. Goryainov,  S. Reich and D. Shoikhet).

11.  Spirallike functions with respect to a boundary point,  Journ. Math.  Anal. Appl. 280 (2003), 17-29 (with D. Aharonov  and D. Shoikhet).