Prof. David Shoikhet

1. D. Shoikhet, On some estimates of the radius of univalence of a holomorphic mapping in Cn and an analogue of Caratheodory’s theorem,Holomorphic Functions of Many Complex Variables, Institute of Physics, Siberian Branch, Academy of Sciences of the USSR, (1976), 139-148, (in Russian)
2. V. Bolotov, D. Shoikhet, On some estimate of the remainder term of Taylor’s formula for implicit function’s systems, Izvestiya Vuzov, Matematica, 8 (1980),3-9
3. V. Khatskevich, D. Shoikhet, On some analogue of the Montel theorem for the case of analytical operators in Banach spaces, Functional Analysis Theory of Operators 15(1980), 157-159, (in Russian)
4. V. Khatskevich, D. Shoikhet, On the extension and approximation of the resolvent of an analytic operator, VINITI (All-Union Institute of Scientific and Technological Information) 5335 (1980), 15 pps.
5. D. Shoikhet, On some existence principles of solutions of analytic operator equations, VINITI 1853 (1980), 9 pps. (in Russian)
6. D. Shoikhet, Some properties of analytic operators in a Banach space and converse theorems, VINITI 1654 (1980), 15 pps. (in Russian)
7. D. Shoikhet, Some analytic isomorphisms in a strictly convex Banach space and Cartan’s theorem, Some Problems of Multi-Dimensional Complex Analysis, Institute of Physics, Siberian Branch, Academy of Sciences of the USSR, (1980), 253-254
8. D. Shoikhet, Some estimates for the domain of existence of p-valued inversions of holomorphic mappings in C, Some Problems of Multidimensional Complex Analysis, Institute of Physics, Siberian Branch, Academy of Sciences of the USSR, (1980), 257- 260 (in Russian)
9. V. Khatskevich, D. Shoikhet, Fixed points of analytic operators in a Banach space and their applications, Siberian Math. Journal 25, 1(1984), 189-200, English translation: S.M.J. 25, 1(1984), 156-166
10. D. Shoikhet, On fixed points of analytical operators in a Banach space and some applications, Theory of Functions and Functional Analysis and Applications 41 (1984), 127-131
11. D. Shoikhet, Some theorems on analytically varying implicit maps, Multidimensional Analysis, Institute of Physics, Siberian Branch, Academy of Sciences of the USSR, )1985(, 264-267
12. D. Shoikhet, A fixed point theorem for analytic operators in a Banach space,VINITI 11, 3564 (1986) (in Russian)
13. D. Shoikhet, Note on fixed points of holomorphic maps in a strictly convex Banach space, Complex Analysis and Mathematical Physics, Institute of Physics, Siberian Branch, Academy of Sciences of the USSR, (1987), 131
14. D. Shoikhet, Note on fixed-points of nonexpansive analytic operators, Complex Analysis and Mathematical Physics, Institute of Physics, Siberian Branch, Academy of Sciences of the USSR, (1988), 145-150
15. D. Shoikhet, N. Tarkhanov, Remark on the probability of degeneration of a multidimensional branching Galton-Watson processes, Serdica 15(1989), 171-173T. Azizov, V. Khatskevich, D. Shoikhet, On the number of fixed points of holomorphism, Sib. Math. Journal 31, 6(1990), English translation: S.M.J. 31, 6(1990), 1040-1042
16. D. Shoikhet, On singular bifurcation points of analytic operators, VINITI 15, (1990) (in Russian)
17. D. Shoikhet, Some properties of Fredholm mappings of Banach analytic manifolds, Soviet Math. Dokl. 319, 6(1991), 1336-1341; English translation: 44, 1(1991), 358-363
18. D. Shoikhet, Strong Browder’s fixed points principle for Fredholm mappings, Complex Analysis, Krasnoyarsk State University, (1991), 6 pps. (in Russian).
19. D. Shoikhet, Some properties of Fredholm operators in Banach analytic manifolds, Integr. Equat. Oper. Th. 16, (1993), 430-451
20. V. Khatskevich, D. Shoikhet, One version of implicit function theorem for holomorphic mappings, C. R. Acad. Sci. 319, Serie 1 (1994), 599-604
21. V. Khatskevich, D. Shoikhet, Stationary points of one-parameter semigroups with holomorphic generators, Functional Differential Equations 2 (1994), 91-110
22. V. Khatskevich, S. Reich, D. Shoikhet, Fixed point theorems for holomorphic mappings and operator theory in indefinite metric spaces, Integral Equations and Operator Theory 22, (1995)
23. V. Khatskevich, D. Shoikhet, Null-points set of holomorphic generators of one- parameter semigroup, Dynamic Systems and Applications 4(1995), 611-631
24. L. Aizenberg, S. Reich, D. Shoikhet, One-sided estimates for the existence of null points of holomorphic mappings in Banach spaces, J. Math. Anal. Appl. 203, (1996), 38-54
25. V. Khatskevich, S. Reich, D. Shoikhet, Global Theorem On Implicit Function and fixed point theorems for holomorphic mappings and semigroups, Dokl. of Russian Akad. Nauk 347, 6(1996), 743-745
26. V. Khatskevich, S. Reich, D. Shoikhet, Global implicit function and fixed point theorems for holomorphic mappings and semigroups, Complex Variables 28, (1996), 347-356
27. S. Reich, D. Shoikhet, The existence of resolvents of holomorphic generators in Banach spaces, Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, Lecture Notes in Pure and Appl. Math., Marcel Dekker, (1996), 251-258
28. S. Reich, D. Shoikhet, Generation theory for semigroups of holomorphic mappings in Banach Spaces, Abstract and Applied Analysis 1(1996), 1-44
29. V. Khatskevich, S. Reich, D. Shoikhet, Ergodic methods for the construction of holomorphic retractions, Operator Theory Birkhauser 98(1997), 145-152
30. V. Khatskevich, S. Reich, D. Shoikhet, Complex dynamical systems on bounded symmetric domains, E. J. Diff. Equations 19(1997), 1-9
31. S. Reich, D. Shoikhet, Semigroups and generators on convex domains with the hyperbolic metric, Rend. Mat. Acc. Lincei 8(1997), 231-250
32. V. Khatskevich, S. Reich, D. Shoikhet, Asymptotic behavior of solutions of evolution equations and the construction of holomorphic retractions, Mathematische Nachrichten 189(1998), 171-178
33. S. Reich, D. Shoikhet, Averages of holomorphic mappings and holomorphic retractions on convex hyperbolic domains, Studia Math. 130(1998), 231-244
34. S. Reich, D. Shoikhet, A characterization of holomorphic generators on the Cartesian product of Hilbert balls, Taiwanese J. Math. 2, (1998), 383-396
35. S. Reich, D. Shoikhet, Metric domains, holomorphic mappings and nonlinear semigroup, Abstr. Appl. Anal. 3, (1998), 203-228
36. D. Aharonov, M. Elin , S. Reich, D. Shoikhet, Parametric representation of semi-complete vector-fields on the unit ball in Cn and in Hilbert space, Atti Acad. Naz. Lincei 9, 10(1999), 229-253
37. D. Aharonov, S. Reich, D. Shoikhet, Flow invariance conditions for holomorphic mappings in Banach spaces, Math. Proceedings of the Royal Irish Academy 99A(1999), 93-104
38. S. Reich, D. Shoikhet, An interior flow invariance condition for nonlinear semigroups on convex domains in Banach spaces, Numerical Functional Analysis and Optimization 20(1999), 333-339
39. M. Elin, S. Reich, D. Shoikhet, Asymptotic behavior of semigroups of holomorphic mappings, Progress in Nonlinear Differential Equations and Their Applications, Birkhauser, Verlag, 42(2000), 249-258
40. M. Elin and S. Reich, D. Shoikhet, Holomorphically accretive mappings and spiral-shaped functions of proper Contractions, Nonlinear Analysis Forum 5(2000), 149-161
41. M. Elin, S. Reich, D. Shoikhet, A semigroup approach to the geometry of domains in complex Banach spaces, Nonlinear Analysis 47 (2001), 3271-3280
42. M. Elin, S. Reich, D. Shoikhet, Dynamics of inequalities in geometric function theory, J. of Inequalities and Applications, 6(2001), 651-664
43. M. Elin, D. Shoikhet, Dynamic Extension of the Julia-Wolff-Caratheodory Theorem, Dynamic Systems and Applications 10, 3(2001), 421-438L. Harris, S. Reich, D. Shoikhet, Dissipative holomorphic functions, Bloch radii, and the Schwarz Lemma, J.d’Analyse Math. 82(2001), 221-232
44. V. Khatskevich, S. Reich, D. Shoikhet, Schroder’s functional equation and the Koenigs embedding property, Nonlinear Analysis 47 (2001), 3977-3988
45. V. Katzkevich, S. Reich, D. Shoikhet, One-parameter Semigroups of Fractional-linear Transformations. Operator Theory: Advances and Applications, Burkhauser Verlag, 123(2001)
46. T. Kuczumow, S. Reich, D. Shoikhet, The existence and non-existence of common fixed points for commuting families of holomorphic mappings, Nonlinear Analysis 43(2001), 45-59
47. T. Kuczumow, S. Reich, D. Shoikhet, Fixed points of holomorphic mappings: a metric approach, Hand Book of Metric Fixed Point Theory (ed. by W. A. Kirk and B .Sims), Kluwer Academic Publishers, (2001), 437-516
48. L. Aizenberg, D. Shoikhet, Boundary behavior of Semigroups of holomorphic mappings on the unit ball in Cn , Complex Variables 47, 2(2002), 109-121
49. L. Aizenberg, D. Shoikhet, A remark on uniform Bloch radii and Bohr phenomena in Cn, Multidimensional Complex Analysis, (2002), 5-17
50. Y. Alber, S. Reich, D. Shoikhet, Iterative approximations of null points of uniformly accretive operators with estimates of the convergence rate, Communications in Applied Analysis, (2002)
51. M. Elin, L. Harris, S. Reich, D. Shoikhet, Evolution equations and geometric function theory in J*-algebras. Journal of Nonlinear and Convex Analysis 3, 1(2002), 81-121
52. M. Elin, S. Reich, D. Shoikhet, Asymptotic behavior of semigroups of ρ–non-expansive and holomorphic mappings of the Hilbert Ball. Annali di Mathematica 181(2002), 501-526
53. M. Elin, D. Shoikhet, Univalent functions of proper contractions spirallike with respect to a boundary point, Multidimensional Complex Analysis, (2002), 28-36
54. S. Reich, D. Shoikhet, Semigroups of holomorphic mappings, Math. Encyclopaedia, Supplement Kluwer Academic Publishers, 3(2002), 354-358
55. S. Reich, D.Shoikhet, The Denjoy-Wolff theorem, Math. Encyclopaedia ,Supplement Kluwer Academic Publishers, 3(2002), 121-123
56. D.Shoikhet, The Julia-Wolff-Caratheodory theorem, Math. Encyclopaedia, Supplement Kluwer Academic Publishers, 3(2002), 222-224
57. V. Goryainov, M. Elin, S. Reich, D.Shoikhet, Fractional iterations and functional equations for functions analytic in the unit disk, Computational Methods in Function Theory, Vol.22, (2002), n.2, 353-366
58. D. Aharonov, M.Elin, D.Shoikhet, Spiral-like functions with respect to a boundary point, J. of Math. Anal. and Appl. 280(2003), 17-29
59. D. Shoikhet, Representation of holomorphic generators and distortion theorems for spirallike functions with respect to a boundary point, International Journal of Pure and Applied Mathematics 5, 3(2003), 335-361
60. V. Khatskevich, S. Reich, D.Shoikhet, Abel-Schröder equations for linear fractional mappings and the Koenig embedding problem, Acta Sci. Math (Szeged), 69(2003), 67-98 pp.
61. M. Elin, D.Shoikhet and V. Volkovich, Semigroups of holomorphic mappings on the unit disk with a boundary fixed point, Intern. Journ. Pure Appl. Math. 12 (2004), 427-453.
62. L. Aizenberg, M. Elin and D. Shoikhet, On the Rogosinski radius for holomorphic mappings and some its applications, Studia Math. 168 (2) (2005).
63. M. Elin and D. Shoikhet, An angle distortion theorem for starlike and spirlike functions with respect to a boundary point. Intern. Journal. Math., Math Sci., 2006, Article ID 81615, 1-13
64. M. Elin, D. Shoikhet and L. Zalcman, Controlled approximation and interpolation for some classes of holomorphic functions, Complex analysis and Dynamical Systems III, Contemp. Math., (preprint is available in arXiv:math.CV/0602332, 2006).
65. D. Shoikhet, Koenigs type linearization models and asymptotic behavior of one-parameter semigroups, Contemporary Mathematics. Fundamental Directions, (2007) Vol. 21, pp. 149-166
66. M. Levenshtein, S. Reich and D. Shoikhet, An application of the resolvent method to rigidity theory for holomorphic mappings. J. of Nonlinear Convex Anal.,.8, (2007), n.1, 99-103
67. M. Elin, M. Levenshtein, D. Shoikhet and R. Tauraso, Rigidity of holomorphic generators and one-parameter semigroups, Dynamic Systems and Applications 16, 2(2007), 251-266.
68. M. Elin, M. Levinshtein, S.Reich, D. Shoikhet, Rigidity results for holomorphic mappings on the unit disk, Complex and Harmonic Analysis, 2007, 93-109
69. M. Elin, D. Shoikhet and L. Zalcman, A structure of backward flow invariant domains for semigroups, Ann. Acad. Sci. Fenn. Math., 33 (2008), 3-34.
70. M. Elin, D. Shoikhet and L. Zalcman, A flower structure of backward flow invariant domains for semigroups, C.R. Acad. Sci. Paris, Ser.1 Math, 346 ( 2008), 293-296
71. M. Elin, S. Reich, D. Shoikhet A Julia-Caratheodory theorem for hyperbolically monotone mappings in the Hilbert ball, Israel J. Math., 164 (2008), 397-411
72. M. Elin, F. Jacobzon, S. Reich, D. Shoikhet, Asymptotic behavior of one-parameter semigroups and rigidity of holomorphic generators, Comp. Anal. Oper. Theory, 2 (2008), 55-86
73. D. Shoikhet, Another look at the Burnz-Krantz Theorem, Journ. d’Anal. Math. 19 (2008) Vol. 105, 19-42
74. M. Elin, M. Levenshtein, S. Reich, D. Shoikhet, Two rigidity theorems for holomorphic generators of continuous semigroups, J. of Nonlinear Convex Anal., Vol. 9, N1 (2008), 59-64
75. M. Elin, D. Shoikhet, F. Yacobzon, Linearization models for parabolic type semigroups, J. Nonlinear Convex Anal. 9 (2008), 205-214
76. M. Elin, M. Levenshtein, S. Reich, D. Shoikhet, A rigidity theorem for holomorphic generators on the Hilbert ball, Proc. AMS. 136 (2008), 4313-4320.
77. M. Elin, M. Levenshtein, S. Reich, D. Shoikhet, Commuting semigroups of holomorphic mappings, Math. Scand. 103 (2008), 295-319
78. F. Jacobzon, S. Reich and D. Shoikhet, Linear fractional mapping: invariant sets, semigroups and commutativity, J. on Fixed Point Theory and Appl, 5(2009), 63-91
79. A. Goldvard, S. Reich, D. Shoikhet, Asymptotic representations of star-like functions via continuous semigroups of holomorphic mappings, Mathematical Proceedings of the Royal Irish Academy, 108A(2) (2008), 175-197.
80. D. Khavinson, M. Elin, S. Reich and D. Shoikhet, Linearization models for parabolic dynamical systems via Abel’s functional equations, Ann. Acad. Sci. Fenn. Math. 35 (2010), 439-472.
81. M. Elin, D. Shoikhet and F. Yacobzon, A distortion theorem for functions convex in one direction, Compl. Anal. Oper. Theory, 5 (2011) 751–758.
82. F. Bracci, M. Elin, D.Shoikhet, Normal forms and linearization of holomorphic dilation type semigroups in several variables J. Nonlinear Convex Anal. 12 (2011) 143-154.
83. M. Elin and D. Shoikhet, Boundary behavior and rigidity of semigroups of holomorphic mappings, Analysis and Math. Physics, 1 (2011) 241-258.
84. M. Elin, D. Shoikhet and N. Tarkhanov, Separation of boundary singularities for holomorphic generators, Annali di Matematica Pura ed Applicata, 190 (2011) 595-618.
85. L.A. Harris, D. Shoikhet, M. Elin and S. Reich, Dynamics of self-maps of the unit disk, Appendix H, in: D.S. Alexander, F. Iavernaro, A. Rosa, Early Days in Complex Dynamics, American Math. Soc. & London Math. Soc., 2011, 307-312.
86. Shoikhet D., A Generalized Version of the Earle-Hamilton Fixed Point Theorem for the Hilbert Ball, Journal of Mathematics Research Vol 4 No. 2 (2012). DOI: 10.5539/jmr.v4n2p45

1. V. Khatskevich, D.Shoikhet, Differentiable Operators, Leningrad Financial Economical Inst., 1991, 150 pp.
2. V. Khatskevich, D.Shoikhet, Differentiable Operators and Nonlinear Equations, Birkhäuser Verlag AG, Basel, 1993, 270 pp.
3. D.Shoikhet, Semigroups in Geometrical Function Theory , Kluwer Academic Publishers, Dordrecht/Boston/London, 2001, 222pp.
4. S. Reich, D.Shoikhet, Fixed Points, Nonlinear Semigroups and the Geometry of Domains in Banach Spaces, World Scientific Publisher, Imperial College Press, London, 2005, 372 pp.
5. M. Elin, S. Reich , D. Shoikhet, Complex Dynamical Systems and the Geometry of Domains in Banach Spaces, 2004. Dissertations Math. (Rozprawy Mat.)427 (2004), 62 pp.
6. M. Elin, D. Shoikhet, Linearization Models for Complex Dynamical Systems. Topics in univalent functions, functions equations and semigroup theory, Birkhäuser Basel, 2010, 265 pp.

Conference Proceedings (refereed):

1. D. Shoikhet, On the local structure of the fixed point set for analytic operators in a ball, Proceedings of the XII School on the Theory of Operators in Functional Spaces, Academy of Sciences of the USSR, Tambov, 1987, 122
2. D. Shoikhet, Apriori estimates and continuations on parameters of the solution of functional equations with analytic operators. In: “Functional-Differential Equations and Applications”, 133, Permy, 1988
3. V. Khatskevich, S. Reich, D.Shoikhet, Ergodic type theorems for nonlinear semigroups with holomorphic generators In: “Recent Developments in Evolution Equations”, Pitman Research Notes in Math., 324(1995), 191-200
4. V. Khatskevich, S. Reich, D. Shoikhet, Fixed points of holomorphic mappings and semigroups in Banach spaces: regularity and uniqueness. In: “Interaction between Functional Analysis, Harmonic Analysis and Probability”, Marcel Dekker, New York, 1996, 249-254
5. V. Khatskevich, S. Reich, D. Shoikhet, Null points of holomorphic generators in the Hilbert ball. In: “Recent Advances in Metric Fixed Point Theory”, Seville, Spain, 1996, 59-72
6. V. Khatskevich, S. Reich, D.Shoikhet, Semi-complete vector fields on homogeneous balls in Banach spaces, Ann. Univ. Mariae Curie-Sklodowska, Sect. A51 (1997), 143-148
7. S. Reich, D. Shoikhet, Results and conjectures in holomorphic fixed point theory, Proceedings of the Second World Congress of Non linear Analysts, Athens, Marcel Dekker, NY. Nonlinear Analysis Theory, Methods and Applications 30(1997), 3529-3538
8. S. Reich, D. Shoikhet, An interior flow invariance condition for locally accretive mappings in Banach spaces, Nonlinear Analysis and its applications to Engineering and Economics, accepted for publication.
9. S. Reich, D.Shoikhet, The Denjoy-Wolff theorem, Ann. Univ. Mariae Curie- Sklodowska, Sect. A51 (1997), 219-240
10. M. Elin, A. Goldvard, S. Reich , D. Shoikhet, Dynamics of spirallike functions, Complex Analysis and Differential Equations, Contemp. Math. 364 (2004), 41-57
11. M. Agranovsky and D. Shoikhet, Lawrence Zalcman at Sixty, Contemporary Mathematics, Volume 382, 2005, 1-6
12. M. Elin and D. Shoikhet, Semigroups of holomorphic mappings with boundary fixed points and spirallike mappings, Geometric Function Theory in Several Complex Variables, 82-117, World Sci. Publishing, River Edge, NJ, 2004. Proceedings of a Satellite Conference to the International Congress of Mathematicians in Beijing 2002.
13. M. Elin, S. Reich, D. Shoikhet and F. Yacobzon, Rates of convergence of one-parameter semigroups with boundary Denjoy-Wolff fixed points, Proceedings of the 8th International Conference on Fixed Point Theory and its Applications (Chiang Mai, Thailand, 2007), 43-58, Yokohama Publishers, 2008

1. M. Agranovsky, L. Karp, D.Shoikhet and L. Zalcman, Complex Analysis and Dynamical Systems, Contemporary Mathematics, AMS, Israel Mathematical Conference Proceedings, Vol. 364, 2004
2. M. Agranovsky, L. Karp, D.Shoikhet ,Complex Analysis and Dynamical Systems, Contemporary Mathematics, AMS, Israel Mathematical Conference Proceedings, Vol. 382, 2005.
3. M. Agranovsky, D. Bshouty, L. Karp, S. Reich, D. Shoikhet, L. Zalcman, Complex Analysis and Dynamical Systems, Contemporary Mathematics, AMS, Israel Mathematical Conference Proceedings, Vol. , 2008

1. D. Shoikhet, Holographic interferometer for the measurement of two – refraction in optically active materials, Author’s Certificate No.1079025, State Committee on Inventions of the USSR, 1983

1. D. Shoikhet, On some conditions for the solvability of equations with an analytic operator, Preprint, Institute of Physics, Siberian Branch, Academy of Sciences of the USSR, 1980, No.11M,14pp.
2. D. Shoikhet, On solutions of operator equations with analytic nonlinearities, In Report “Theoretical Investigations in Modern Mathematics and Applications”, No. of the State Registration 018 50003791, 1985 (Russian)
3. D. Shoikhet, Iteration methods for solutions of algebraic and transcendental equations, Ministry of Education of RSFSR, Institute of Non-Ferrous Metals, Krasnoyarsk, 1985, 36 pp.
4. D. Shoikhet, The invariance principle in the fixed point theory for analytic operators, Preprint. Institute of Physics, Siberian Branch, Academy of Sciences of the USSR, 24 pp., No. 33M, 1986
5. V. Khatskevich, D. Shoikhet, Operator Theory in Spaces with Indefinite Metrics, Holomorphic Mappings in Banach Spaces, And Their Applications, 1991
6. D. Shoikhet, A note on the Koenigs functions of a one-parameter semigroup and a distortion theorem for starlike functions with respect to a boundary point. Preprint, 2003.