Selected publications of Volodymyr Koshmanenko

  1. V.D. Koshmanenko, On normal form of operators,   Ukrainian Math. J.,  21, 207-216 (1969)
  2. Yu.M. Berezanskii, V.D. Koshmanenko, Axiomatic field theory in terms of operator Jacobi Matrices,   Doklady Akad. Sci. USSR, 189,  No.2, 273-276, (1970).
  3. Yu.M. Berezanskii, V.D. Koshmanenko, Axiomatic field theory in terms of operator Jacobi Matrices,   Theor. Math. Phys., 8, No.2, 175-187, (1971).
  4. V.D. Koshmanenko, The operator Jacoby matrices in the axiomatic field theory, Meth. Math. Phys., Inst. Math., Kiev, 75-136, (1971).
  5. V.D. Koshmanenko, On triviality conditions for S-operator in the Haag-Ruelle scattering theory,   Teor. Math. Phys., 15, No. 3, 297-306 (1973).
  6. V.D. Koshmanenko, Space-like symmetrization operator and the local commutativity axiom,   Reports Math. Phys.,   6, No. 6, 213-224, (1974).
  7. V.D. Koshmanenko, On wave operator in the Haag-Ruelle scattering theory,   Soviet Math. Dokl.,   218, No.4, 1401-1405, (1974).
  8. V.D. Koshmanenko,  The  scattering theory in terms of bilinear functionals,   Soviet Math. Dokl.,   224, No.2, 1184-1188, (1975).
  9. V.D. Koshmanenko, Yu.S. Samojlenko, On isomorphism between Fock space and infinite dimensional functional space,   Ukrainian Math. J.,   27, No.5, 669-674, (1975).
  10. V.D. Koshmanenko,  The inverse problem of  scattering theory in terms of bilinear functionals, Soviet Math. Dokl.,   229, No.1, 966-969, (1976).
  11. V.D. Koshmanenko,  The  scattering theory with different state spaces of perturbed and free system,   Reports Math. Phys.,14, No. 2, 185-206, (1978).
  12. V.D. Koshmanenko, The Haag-Ruelle scattering theory as a scattering theory in different state spaces,   Teor. Math. Phys.,   38, No.2., 163-178 (1979).
  13. V.D. Koshmanenko, On scattering problem for Schrödinger operator with singular perturbation,   Uspekhi Math. Nauk, 34, No.4., 163 (1979).
  14. V.D. Koshmanenko, On the setting problem of the scattering problem with singular perturbation in rigged Hilbert spaces,  Operators of Math. Phys. and Infinite-Dimen. Anal., Institute of Math., Kiev, 58-72 (1979).
  15. M. Wollenberg, V.D. Koshmanenko, On the structure of wave operators,   Soviet Math. Dokl.,   20, No. 1, 37-41(1979).
  16. V.D. Koshmanenko, On operator representation for non-closable quadratic forms and scattering problem,   Soviet Math. Dokl., 20, No.2, 294-297 (1979).
  17. V.D. Koshmanenko, Singular bilinear forms and self-adjoint extensions of symmetric operators,    Spectral Anal. of Diff. Operators, Institute of Math., Kiev, 37-48 (1980).
  18. V.D. Koshmanenko, Spectral resolutions in the scattering problem with singular perturbation,   Soviet Math. Dokl., 21, No. 3, 766-770 (1980).
  19. V.D. Koshmanenko, On srtucture of general solution of the inverse scattering problem in abstract setting,   Ukrainian Math. J.,   32, No. 4, 499-506 (1980).
  20. V.D. Koshmanenko, Spectral resolutions in the scattering problem with singular perturbation, Soviet Math. Dokl., 21, No. 3, 766-770 (1980).
  21. V.D. Koshmanenko, Perturbations of self-adjoint operators by singular bilinear forms,   Ukrainian Math.J.,   41, 1-14 (1989).
  22. W. Karwowski, V.D. Koshmanenko, Additive regularization of singular bilinear forms,   Ukrainian Math. J.,   42, No. 9, 1199-1204 (1990).
  23. V.D. Koshmanenko, Delta-Perturbations of n-Dimensional Laplace Operator,   Selecta Math. Sov.,   9, N.4, 355-364 (1990).
  24. V.D. Koshmanenko, Towards the rank-one singular perturbations of self-adjoint operators,   Ukrainian Math. J., 43, No. 11, 1559-1566 (1991).
  25. V.D. Koshmanenko, Singular operators and forms in the scale of Hilbert spaces,    Meth. Funct. Anal. in Problems of Math. Phys., Kiev, 73-87 (1992).
  26. W. Karwowski, V.D. Koshmanenko, On definition of the singular bilinear forms and singular linear operators,   Ukrainian Math. J.,   45, No. 8, 1084-1089 (1993).
  27. V.D. Koshmanenko,   Singular bilinear  forms in perutbation theory of self-adjoint operators, (in Russian) Naukova Dumka, Kiev, 175 p. (1993).
  28. W. Karwowski, V. Koshmanenko, S. Ota, Schrödinger operators with perturbations supported by null set,   Uspekhi Math. Nauk,   48, No. 4., 184 (1994).
  29. V. Koshmanenko, Singularly Perturbed Operators,   Operator Theory. Adv. Appl.,   70, 347-351 (1994)
  30. J.F. Brasche, V. Koshmanenko, H. Neidhardt, New aspects of Krein's extension theory,   Ukrainian Math. J.,   46, No.1, 37-54 (1994).
  31. V. Koshmanenko, Singular Wick Monomials in an Orthogonally Extended Fock Space,   Selecta Math. Sov.,   13, No. 1,17-25 (1994).
  32. V.D. Koshmanenko, Spectral properties of singularly perturbed operators,   Uspekhi Math. Nauk,   49, No. 4, 126, (1994).
  33. N.E. Dudkin, V. Koshmanenko, Commutative properties of the singularly perturbed operators,   Theor. Math. Phys.,   102, No. 2, 133-143 (1995).
  34. S. Albeverio , W. Karwowski ,V. Koshmanenko, Square Power of Singularly Perturbed Operators,   Math. Nachr.   173, 5-24 (1995).
  35. V.D. Koshmanenko, Singular operators as perturbations, ICM, Zurich, 94 (1994).
  36. W. Karwowski, V. Koshmanenko, Regular restrictions of singular bilinear forms,   Funct.Anal.Appl.,   29, No. 2, 79-81 (1995).
  37. V.Koshmanenko, When the n-power of symmetric operator has dense domain,   Proc. of Seventh Crimean Autumn Math.School-Symposium, Simferopol, Crimea, Ukraine,   5, 20-22 (1996).
  38. V.Koshmanenko, Form-sum approximations in singular perturbation theory,   Proceedings of Seventh Crimean Autumn Math. School-Symposium, Simferopol, Crimea, Ukraine,   7, 2-5 (1996).
  39. J. F. Brasche, V. Koshmanenko, On solutions of Lippmann-Schwinger equation in singular perturbation theory,   Uspekhi Math. Nauk,   50, No. 4, (1996).
  40. V. Koshmanenko, S. Ota, On characteristic properties of the singular operators,   Ukrainian Math. J.,   48, No. 11, 1484-1493 (1996)
  41. Koshmanenko V.D., Singular perturbations of type -\Delta+\lambda \delta ,   Algebraic and Geometrical Methods in Math.Phys., A. Boutet de Monvel and V. Marchenko, Eds , Kluwer Academic Publisher, 433-437, (1996).
  42. S. Albeverio, J.F. Brasche, V. Koshmanenko, Lippmann-Schwinger equation for singularly perturbed operators, Meth. Funct. Anal. Topology,   3, No.1, 1-27 (1997).
  43. V. Koshmanenko, O.Samoilemko, Singular perturbations of finite rank. Point spectrum,   Ukrainian Math. J.,   49, 1186-1212 (1997).
  44. W. Karwowski and V. Koshmanenko, Singular Quadratic Forms: Regularization by Restriction ,   J. Funct. Anal.,   143, 205-220 (1997).
  45. W, Karwowski, V. Koshmanenko, S. Ota, Schrödinger operator perturbed by operators related to null sets,   Positivity,   2, No. 1, 77-99 (1998).
  46. S. Albeverio, V. Koshmanenko, K. Makarov, Generalized eigenfunctions under singular perturbations,    Meth. Funct. Anal. Topology,   5, No. 1, 13-27 (1999).
  47. S.Albeverio, V.Koshmanenko, Form-sum approximation of singular perturbation of self-adjoint operators,   J. Funct. Anal.,168, 32-51 (1999).
  48. S. Albeverio, V. Koshmanenko, Singular rank one perturbations of self-adjoint operators and Krein theory of self-adjoint extensions,  Potential Anal.,   11, 279-287 (1999)).
  49. V.D. Koshmanenko, Singular perturbations at infinite coupling,   Funct. Anal. Appl.,   33, No. 2, 81-84 (1999).
  50. T.V. Karataeva, V.D. Koshmanenko, Generalized sum of operators,   Math. Notes,   66, No. 5, 671-681 (1999).
  51. W. Karwowski, V. Koshmanenko, Schrödinger operator perturbed by dynamics of lower dimension,   AMS/IP Studies in Adv. Math.,   16, (2000) 249-257.
  52. W. Karwowski, V. Koshmanenko, Generalized Laplace Operator in L_2(  R^n),   in Stoch. Processes, Phys. Geometry: New Interplays. II, (a volume in  honor of S. Albeverio), Gesztesy et al., Eds., Canadian Math. Soc., Conf. Proc.,   29, 385-393 (2000).
  53. V. Koshmanenko,   Singular Quadratic Forms in Perturbation Theory, Kluwer Academic Publishers, Dordrecht Boston London, (1999).
  54. S. Albeverio, V. Koshmanenko, On the problem of the right Hamiltonian under singular form-sum perturbations,   Rew. Math.Phys.,   12, No. 1, (2000).
  55. S. Albeverio, V. Koshmanenko, On Schrödinger operators perturbed by fractal potentials,   Reports on Math. Phys., 45, No.2, 307-325, (2000).
  56. V. Koshmanenko, Singular Operator as a Parameter of Self-adjoint Extensions, Proc. of Krein Conf., Odessa, 1997, Operator Theory. Adv. Appl., Vol. 118, 205-223 (2000).
  57. V.D. Koshmanenko, Regular approximations of singular perturbations of \cal H_-2-class,   Ukrainian Math.  J. 52, No. 5, 626-637 (2000).
  58. S. Albeverio, W. Karwowski, V. Koshmanenko, On Negative Eigenvalues of Generalized Laplace Operator,   Reports on Math. Phys.,   48, 359-387, (2001).
  59. V. Koshmanenko, Towards the Spectral Analysis of Schrödinger Operator with Fractal Perturbation, Proc. Clausthal Conf. PDE-2000,   Operator Theory. Adv. Appl.,  Birkhauser, Vol. 126, 169-178, (2001).
  60. V. Koshmanenko, A variant of the inverse negative eigenvalues problem in singular perturbation theory,   Meth.  Funct. Anal. Topology,   8, N. 1, 49-69, (2002).
  61. S. Albeverio, V. Koshmanenko, G. Torbin, Fine Structure of the Singular Continuous Spectrum,  Meth. Funct. Anal. Topology,   9, No. 2, 101-119 (2003).
  62. S. Albeverio, A. Konstantinov, V. Koshmanenko, The Aronszajn-Donoghue theory for rank one perturbations of the H(-2)-class,   Integral Eqiations and Operator Theory,  50, 1-8 (2004).  ardonCor.pdf
  63. S. Albeverio, V. Koshmanenko, P. Kurasov, and L. Niznik, On approximations of rank one H(-2)-perturbations,    Proc. AMS,   131, No. 5, 1443-1452 (2003). AKKN.pdf
  64. S. Albeverio, M. Dudkin, V. Koshmanenko, Rank one singular perturbations with dual eigen-values pair,   Lett. Math. Phys. 63, 219-228, (2003).   KDdc.pdf
  65. M. Dudkin, V. Koshmanenko, About point spectrum arising under finite rank one perturbations of self-adjoint operators,   Ukrainian Math. J.    55, No. 9, 1269-1276 (2003). KDps.pdf, KDps(ukr).pdf
  66. V. Koshmanenko, On the Conflict Theorem for a Pair of Stochastic Vectors,   Ukrainian Math. J.,   55, No. 4, 555-560 (2003).  ThC(UkrMJ).pdf, ThC(Ukr).pdf
  67. V. Koshmanenko, The Theorem of Conflict for Probability Measures,    Math. Meth. Operations Research   59, No.2, 303--313 (2004).   1860330.pdf
  68. S.Albeverio, V.Koshmanenko, and S. Kuzhel,  On a Variant of Abstract Scattering Theory in Terms of Quadratic Forms,     Reports on Math. Phys.,   54, 309-325 (2004).
  69. S. Albeverio, A. Konstantinov, V. Koshmanenko, Decompositions of singular continuous spectra of  H(-2)-class rank one perturbations,     Integral Eqiations and Operator Theory, 52, 455-464 (2005).   AKKdss.pdf
  70. M.  Bodnarchyk,  V. Koshmanenko, N.Kharchenko, Properties of the limiting states of conflict dynamical systems, Non-linear oscillations,   7, 4, (2004) 446-461. BKoD.pdf
  71. V. Koshmanenko, N.Kharchenko, Spectral properties of image measures after conflict interactions, Theory of Stochastic Processes,     10(26), No. 3-4, 73-81, (2004). ArtIM.pdf
  72. S. Albeverio, V. Koshmanenko, M. Pratsiovytyi, G. Torbin, Spectral properties of image measures under infinite conflict interaction, Positivity,    10, 39-49 (2006). AKPTsp.pdf
  73. S.Albeverio, V.Koshmanenko, M.Pratsiovytyi, G.Torbin, Q- representation of real numbers and fractal probability distributions, (2005).   Q-repr.pdf
  74. V. Koshmanenko, H. Tugai  On resolvent structure of singularly perturbed operator solving eigenvalues problem,    Ukrainian Math. J.,   56,  9, 1292-1297 (2004).
  75. V. Koshmanenko,  N. Kharchenko, Invariant points of  conflict dynamical systems in the space of uniformly distributed measures,   Ukrainian Math. J.   56, 7, 927--938 (2004).
  76. S. Albeverio, M.  Bodnarchyk, V. Koshmanenko,  Dynamics of  Discrete Conflict Interactions  Between Non-annihilating Opponent,   Meth. Funct. Anal. Topology,    11, no.4, 309-319 (2005). ABKcmcm.pdf
  77. S. Albeverio, A.Konstantinov, V. Koshmanenko, On inverse spectral theory for singularly perturbed operator: point spectrum,    Inverse Problems,   21, 1871-1878 (2005).
  78. V. Koshmanenko, Construction of singular perturbations by the method of rigged Hilbert spaces,    Journal of Physics A: Math. and General,   38, 4999-5009 (2005). rhs.pdf
  79. S. Albeverio,  R. Bozhok, M.Dudkin,  V. Koshmanenko, Dense subspace in scales of Hilbert spaces,   Meth. Funct. Anal. Topology,   11, no.~2, 156--169, (2005). KBD.pdf
  80. Bozhok R.V., Koshmanenko V.D. Singular perturbations of self-adjoint operators associated with rigged Hilbert spaces,   Ukrainian Math. J.,    57,  No. 5, 622-632, (2005).BK.pdf
  81. V. Koshmanenko, H. Tugai,  Jacobi matrices associated with  the inverse eigenvalues problem in singular perturbation theory,   Ukrainian Math. J., (2006). PJacM3b.pdf
  82. S. Albeverio,   V. Koshmanenko, I. Samoilenko, The conflict interaction between two complex systems. Cyclic migration, sent to    JAMC, (2006). AKS.pdf
  83. S. Albeverio, R.Bozhok,  V. Koshmanenko, The rigged Hilbert spaces approach in singular perturbation theory,  Reports on Math. Phys. (2006).  ABK.pdf
  84. S. Albeverio, M.Dudkin, A.Konstantinov, V. Koshmanenko,  On the point spectrum of H(-2)-class singular perturbations,   Math. Nachr.    280, No. 1-2, 1-8 (2007). AKKDps.pdf