S muxigulaSvilis publikaciebi monografiebi

2. Geometric aspects of Riemann-Hilbert problems. Memoirs on Differential Equations and Mathematical Physics 27, 2002, 1-114.

3. dakargul fesvTa ZiebaSi, ilia WavWavaZis saxelmwifo universiteti, Tbilisi, 2009. 136 gv.

samecniero statiebi

1. On the big inductive uniform dimension. (Russian) Bull. Acad. Sci. Georgian SSR 70, 1973, 25-28. (with S.Bogaty)

2. On the relation between uniform dimension and decomposing mappings. (Russian) Ibid. 73, 1974, 281-284. (with S.Bogaty)

3. On the mapping degree theory in Hilbert space. (Russian) Ibid. 82, 1976, 41-44.

4. On the bifurcation theory for ordinary differential equations in Banach spaces. (Russian) Ibid. 84, 1976, 557-560.

5. On the small solutions of analytic Fredholm equations. (Russian) Vestnik Mosk. Gos. Univ. 2, 1977, 27-31.

6. On the local degree of smooth mapping. (Russian) Bull. Acad. Sci. Georgian SSR 85, 1977, 309-312.

7. On deleting projectable subsets of Banach spaces by etale diffeomorphisms. (Russian) Ibid. 92, 1978, 121-124.

8. On the level surfaces of smooth functions on manifold with corners. (Russian) Ibid. 95, 1979, 529-532.

9. On the change of Euler characteristic under mappings with isolated singularities. (Russian) In: “4^th All-Union symposium in general topology”. Kishinev, 1979, 154-155.

10. On the local degree of smooth mapping. (Russian) Proc. A.Razmadze Math. Inst. 64, 1980, 105-124.

11. Local multiplicity and branching of solutions of nonlinear boundary value problems. (Russian) In: “Boundary value problems of mathematical physics”. Naukova Dumka, Kiev, 1981, 77-78.

12. Fredholm analytic sets and branching of solutions of nonlinear equations. (Russian) Trudy Tbiliss. Univ. 218, 1981, 159-182.

13. The Euler characteristic of manifold with boundary and critical points of finite multiplicity. (Russian) Bull. Acad. Sci. Georgian SSR 101, 1981, 273-276.

14. Bifurcation of zeroes of parameterized smooth mappings near a critical point of even multiplicity. (Russian) Ibid. 102, 1981, 273-276.

15. On the topology of the space of invertible singular integral operators. (Russian) Ibid. 108, 1982, 273-276.

16. On the topological structure of invertible singular integral operators. (Russian) Trudy Tbiliss. Univ. 232, 1982, 256-270.

17. Euler characteristic and critical points of smooth functions. (Russian) Proc. A.Razmadze Math. Inst. 85, 1982, 123-141.

18. Development of specialization processes in course of scientific and technical progress. (Russian) In: “Problems of measuring the influence of scientific-technical progress on industry”, Leningrad, 1983, 89-98. (with R.Satanovsky and E.Sheremetyeva).

19. The Grothendieck residue symbol and topological degree. In: “Komplexe Analysis und ihre Anwendungen auf Differentialgleichungen”. Halle, 1983, Bd.1, 75-77.

20. On the number of solutions of analytic equations. In: “Complex Analysis and its Applications”. Sofia, 1984, 239-245.

21. Functional calculus and Fredholm theory of singular operators. Doklady rasshir. semin. IPM TGU 1, 1985, 213-216.

22. An index formula for holomorphic image of commuting operators. (Russian) Uspekhi matem. nauk 40, 1985, 157-158.

23. Invariants of real singularities and branching of solutions of operator equations. (Russian) Bull. Acad. Sci Georgian SSR 120, 1985, 25-28.

24. Generalization of Borsuk-Ulam theorem and Knaster problem. (Russian) Ibid. 123, 1986, 477-480. (with S.Bogaty)

25. On the topology of invertible linear singular integral operators. Springer Lecture Notes Math. 1214, 1986, 211-230.

26. Polysingular operators and topology of invertible singular operators. Zeitschr. Anal. Anw. 5, 1986, 139-145.

27. On the connection of Fredholm index with analytic geometry. (Russian) Bull. Acad. Sci Georgian SSR 127, 1987, 465-468

28. The non-commutative functional calculus and Fredholm theory. (Russian) In: “Modern problems of mathematical physics”. Tbilisi, 1987, 404-410.

29. To the theory of algebras of singular operators. (Russian) Proc. RMI 85, 1987, 465-478.

30. On the Riemann problem with values in a compact Lie group. (Russian) Trudy Inst. Prikl. Math. TGU 3, 1988, 186-189.

31. On the homotopy structure of invertible singular operators. In: “Complex Analysis and its Applications”. Sofia, 1989, 230-234.

32. On the topology of generalized Riemann-Hilbert boundary value problem. (Russian) Bull. Acad. Sci. Georgian SSR 135, 1989, 241-244.

33. On the surjectivity of nonlinear mappings of lineals. (Russian) Ibid. 136, 1989, 289-291.

34. On homotopies of invertible pseudodifferential operators. Ibid. 137, 1990, 21-24.

35. Lie groups and transmission problems on Riemann surfaces.Ibid.138,1990,29-32.

36. On certain non-stable homotopy invariants for operator algebras. Ibid. 139, 1990, 469-472.

37. On the Riemann-Hilbert problem for a compact Lie group. (Russian) Doklady AN SSSR 310, 1990, 1055-1058.

38. Linear conjugation problems and Fredholm structures. Trudy IPM TGU 5, 1990, 189-192.

39. On the generalized Riemann-Hilbert problem with coefficients in a compact Lie group. Pitman. Res. Notes Math. 256, 1991, 86-94.

40. Functional calculus and Fredholm theory. (Russian) Proc.A.Razmadze Math. Inst. 94, 1991, 86-110.

41. Lie groups and linear conjugation problems on Riemann surfaces. Contemp. Math. 131, 1992, 164-178.

42. On Fredholmian aspects of linear transmission problems. Springer Lecture Notes Math. 1520, 1992, 193-216.

43. Loop groups and Fredholm operators. Pitman Res. Notes Math. 271, 1992, 116-127.

44. On the numbers of zeroes of a real polynomial endomorphism. Bull. Georgian Acad. Sci. 146, 1992, 469-472.

45. Some topological aspects of elliptic boundary problems. In: “Partial Differential Equations”. MPI Bonn, 90, 1993, 30-33.

46. To the Fredholm theory of operator algebras. (Russian) Proc. A.Razmadze Math. Inst. 98, 1993, 182-194.

47. On the topology of certain groups of abstract singular operators. (Russian) Ibid. 98, 1993, 195-206.

48. On the topology of Birkhoff strata in loop groups of compact Lie groups. (Russian) Ibid. 100, 1993, 86-94.

49. On the cardinality of semi-algebraic subset. Georgian Math. J. 1, 1994, no.3, 311-321.

50. Remarks on Calkin PI-algebras and category-like invariants. Proc. A.Razmadze Math. Inst. 104, 1994, 95-109.

51. Elliptic boundary problems for generalized Cauchy-Riemann systems. In: Analytical and numerical methods in quaternionic and Clifford analysis. Proc. Conf. Seiffen, 1996, 77-83.

52. Stability of analytic discs in Riemann-Hilbert setting. In: Proc. 1^st Polish Symp. Nonlin. Anal., Lodz University, 1997, 77-82.

53. Nonlinear transmission problems. Mem. Differ. Eq. Math. Phys. 12, 1997, 223-230. (with E.Wegert and I.Spitkovsky)

54. Homotopy classes of elliptic transmission problems over C*-algebras. Georgian Math. J. 5, 1998, no.5, 453-468.

55. On totally real non-compact manifolds globally foliated by analytic discs. In: “Partial Diff. Int. Equations”, Kluwer, Dordrecht, 1999, 107-123. (with E.Wegert and I.Spitkovsky)

56. Homotopy classes of abstract elliptic transmission problems. Bull. Georgian Acad. Sci. 159, 1999, no.2, 193-195.

57. On one class of exact Poisson structures. Proc. A.Razmadze Math. Inst. 119, 1999, 111-120.

58. On the average topological degree of random polynomials. Bull. Georgian Acad. Sci. 159, 1999, no.3, 385-388. (with A.Ushveridze)

59. On one class of affine Poisson structures. Bull. Georgian Acad. Sci. 161, 2000, no.3, 395-397.

60. Analytic discs and totally real surfaces. Bull. Georgian Acad. Sci. 162, 2000, no.1, 41-44. (with E.Wegert)

61. Elliptic cells in Riemann-Hilbert setting. Bull. Soc. Sci. Lett. Lodz Ser. Rech. Deform. 31, 2000, 107-119.

62. On generalized Sklyanin algebras. Georgian Math. J. 7, 2000, no.4, 789-800. (with R.Przybysz)

63. Minimal round functions on low-dimensional manifolds. Bull. Georgian Acad. Sci. 162, 2000, No. 4, 3-7. (with D.Siersma)

64. Hyper-holomorphic cells and Riemann-Hilbert problems. In: Clifford analysis and its applications. NATO Sci. Ser., II Math. Phys. Chem. 25, Kluwer, Dordrecht, 2001, 123-133.

65. On local invariants of totally real surfaces. Georgian Math. J. 8, 2001, no.1, 97-109.

66. Hyper-holomorphic cells and Fredholm theory. Georgian Math. J. 8, 2001, no.3, 499-512.

67. Global geometric aspects of Riemann-Hilbert problems. Georgian Math. J. 8, 2001, no.4, 713-726. (with B.Bojarski)

68. Topological aspects of generalized Sklyanin algebras. Bull. Georgian Acad. Sci. 163, 2001, no.1, 11-14. (with R.Prszybysz)

69. Elliptic cells and Fredholm operators. Bull. Georgian Acad. Sci. 164, 2001, no.2, 215-218.

70. Complex points of planar endomorphisms. Bull. Georgian Acad. Sci. 165, 2002, no.1, 5-8. (with E.Wegert)

71. Counting roots of quaternionic polynomials. Bull. Georgian Acad. Sci. 165, 2002, no.3, 465-468.

72. On certain super-integrable Hamiltonian systems. J. Dyn. Contr. Syst. 8, 2002, no.2, 217-244. (with R.Przybysz)

73. Analytic discs and complex points of surfaces. Bull. Soc. Sci. Lett. Lodz Ser. Rech. Deform. 38, 2002, 147-166. (with E.Wegert)

74. On configuration spaces of planar pentagons. Zap. Nauchn. Semin. Sankt-Peterb. Otd. Mat. Inst. Steklova 292, 2002, 121-130.

75. Remarks on real polynomial mappings. Proc. Inst. Cybern. GAS 2, 2002, no.1-2, 74-84.

76. On the fibers of proper polynomial mappings. Bull. Georgian Acad. Sci. 167, 2003, no.3, 400-403.

77. Topological aspects of random polynomials. Bull. Georgian Acad. Sci. 168, 2003, no.1, 5-8.

78. Global geometric aspects of linear conjugation problems. J. Math. Sci. 118, no.5, 2003, 5400-5466.

79. Remarks on minimal round functions. Banach Center Publ. 62, 2004, 159-172. (with D.Siersma)

80. On Schroedinger equations of Okubo type. J. Dyn. Contr. Syst. 10, 2004, 171-186. (with G.Giorgadze)

81. The non-abelian Stokes theorem in low dimensions. Mem. Diff. Eq. Math. Phys. 31, 2004, 5-14. (with B.Broda and G.Duniec)

82. New applications of algebraic formulae for topological invariants. Georgian Math. J. 11, 2004, 759-770.

83. Analytic discs in loop spaces. Bull. Georgian Acad. Sci. 169, 2004, 443-446.

84. Elementary algebraic geometry in geometric algebras. Bull. Georgian Acad. Sci. 170, 2004, 5-8.

85. Stochastically independent functions on closed surfaces. Bull. Georgian. Acad. Sci. 170, 2004, 123-126. (with K.Kalashnikov)

86. Three-sphere as holomorphic curve. Proc. Inst. Cybern. GAS 3, 2004, 53-62.

87. Quadratic mappings and integrable systems. Ibid. 3, 2004, 63-72. (with T.Aliashvili)

88. Multidimensional residues and polynomial equations. Contemp. Math. Applic. 15, 2004, 71-120.

89. The geometry of Fredholm pairs and linear conjugation problems. Mem. Diff. Eq. Math. Phys. 33, 2004, 25-45. (with B.Bojarski)

90.Surfaces as intersections of quadrics.(Russian) Doklady RAN 399, 2004, 173-175.

91.Fredholm structures on loop groups. (Russian) Doklady RAN 401, 2005, 309-311.

92. Elliptic boundary problems for generalized Cauchy-Riemann systems. (Russian) Doklady RAN 403, 2005, 1-4.

93. Isolated singularities and solvable Lie algebras. Bull. Georgian Acad. Sci. 171, 2005, 416-419. (with A.Elashvili)

94. Holomorphic tubes in Cauchy-Riemann manifolds. Complex Variables 50, No.7-11, 2005, 575-584.

95. The geometry of Kato Grassmannians. Central Europ. J. Math. 3, No.4, 2005, 705-717. (with B.Bojarski)

96. Holomorphic dynamics in loop spaces. J. Dynam. Control Syst. 12, No.1, 2006. 33-48. (with T.Aliashvili)

97. Stable holomorphic curves in loop spaces. Bull. Georgian Acad. Sci. 172, No.1, 2006, 1-4. (with D.Siersma)

98. On the Euler characteristic of an intersection of quadrics. (Russian) Uspekhi matem. nauk 73, No.3, 2006, 161-162. (with T.Aliashvili)

99. Riemann-Hilbert problems in loop spaces. (Russian) Doklady Ross. Akad. Nauk 407, No.5, 2006, 589-591. (with G.Giorgadze)

100. Lie algebras of simple hypersurface singularities. J. Lie Theory 16, No.4, 2006, 621-649. (with A.Elashvili)

101. Topology of stable quadratic maps. (Russian) Doklady Ross. Akad. Nauk 408, No.1, 2006, 7-10. (with T.Aliashvili)

102. Derivation Lie algebras of isolated binomial singularities, Bull. Georgian Acad. Sci. 174, No.3, 2006. (with A.Elashvili)

103. Holomorphic curves and Riemann-Hilbert problems in loop spaces. J. Appl. Func. Anal. 2, 2007, 111-124. (with E.Wegert)

104. Holomorphic structures in Seifert fibrations. Bull. Georgian Natl. Acad. Sci.

175, No.1, 2007, 23-26. (with R.Wolak)

105. On stable quaternionic polynomials. Bull. Georgian Natl. Acad. Sci. 175, 3, 2007, 19-21.

106. Loewner conjecture for quasihomogeneous polynomials. Bull. Georgian Natl. Acad. Sci. 175, No.4, 2007, 27-30.

107. Loop spaces and Riemann-Hilbert problems, Banach Center Publ. 76, 2007, 411-424.

108. Cyclic configurations of pentagon linkages. Bull. Georgian Natl. Acad. Sci. (New Series) 2, 2008, No.4, 13-16. (with E.Elerdashvili and M.Jibladze)

109. Cyclic polygons are critical points of area. J. Math. Sci. 158, 2009, No.6, 899-903. (with G.Panina)

110. On stochastically independent continuous functions, J. Math. Sci. 160, 2009, 117-126. (with K.Kalashnikov)

111. Configuration spaces and signature formulae, J. Math. Sci. 160, 2009, 127-136.

112. Cyclic configurations of spherical linkages, Bull. Georgian Natl. Acad. Sci. 3, 2009, No.2, 19-22.

113. Circular configurations of polygonal linkages, Bull. Georgian Natl. Acad. Sci. 4, No.2, 2010. (with G.Bibileishvili) (accepted)

114. Remarks on spherical linkages, Bull. Georgian Natl. Acad. Sci. 4, No.3, 2010, (with G.Giorgadze) (accepted)