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Recent Publications

Department No.17

2002

  1. Bednarz A., Lopushansky O., Exponential Type Vectors of Isometric Group Generators // Matematychni Studii, 2002.

  2. Binding P. and Hryniv R.,  Half- and full-range completeness, in: Linear Operators and Matrices, 121–133; Operator Theory: Advances and Applications}, vol.130, Birkhäuser, Basel, 2002.

  3. Bobryk R.V. and Chszeszczyk A., Colored-noise-induced parametric resonance // Physica A: Statistical Mechanics and its Applications, v.316, 2002, pp. 571–578.

  4. Hryniv R. and  Kmit I., On a nonclassical problem for some quasilinear hyperbolic equation, Nonlinear Anal. 51 (2002), 1405–1419.

  5. Hryniv R. and Mykytyuk Ya., 1D Schrödinger operators with singular Gordon potentials, Meth. Funct. Anal. Topol. 8 (2002), №1, 36–48.

  6.  Hryniv R., Shkalikov A., and Vladimirov A. Spectral analysis of periodic differential operator matrices  of mixed order,  Proc. Moscow Math. Soc. 63 (2002), 212–253.

  7.  Ivashkovich S., Shevchishin V., Reflection principle and J-complex curves with boundary on totally real immersions // Comm. Cont. Math., 2002, v. 4, N 1, 65–106

  8.  Lopushansky O., Dmytryshyn M., Interpolated Subspaces of Exponential Vectors of the Unbounded Operators in Banach Spaces // Demonstratio Mathematica, v.43, 2002, p. 211–223.

  9.  Lopushansky O. and Zagorodnyuk A. Ideal of algebras of analytic functions on Banach spaces, Matematychni Studii, V.17, (1). - 2002.- P. 102-104.

  10.  Lopushansky O., Dmytryshyn M. An Interpolation of Exponential Type Vectors: the Complex Method // Math. Methods and Phys-Mech. Fields. V 45, No 1, 2002, p.72–75.

  11.  Zagorodnyuk A. Ideal of algebras of analytic functions on Banach spaces // Matematychni Studii, V.17, (1). - 2002.- P. 102-104.

2003

  1. Alencar R., Aron R., Galindo P., and Zagorodnyuk A. Algebras of symmetric holomorphic functions on $\ell _p$, Bull. Lond. Math. Soc. 35 (2003), 55–64.

  2. Banakh T.O., Ravsky O.V. On subgroups of saturated or totally bounded paratopological groups,  Algebra and Discrete Mathematics. - 2003 - № 4 - P. 1–20.

  3. Bobryk R. Computer simulations of stochastic resonance, In Banach Center Publ., V.61, 2003.

  4. Bobryk R.V. Computer simulations of stochastic resonance, Probabilistic Problems in Atmospheric and Water Sciences, ICM UW, Warszawa, 2003, 91–96.

  5. Hryniv R.O., Mykytyuk Ya.V. Inverse spectral problems for Sturm-Liouville operators with singular potentials, III. Reconstruction by three spectra, J. Math. Anal. Appl. 284 (2003), no. 2,  626 – 646.

  6. Hryniv R.O., Shkalikov A.A. Exponential stability of semigroups associated with some  operator models in mechanics, Matem. Zametki 73 (2003), no. 5, 657–664.

  7. Hryniv R.O., Mykytyuk Ya.V. Inverse spectral problems for Sturm-Liouville operators with singular potentials, Inverse Problems 19 (2003), 665–684.

  8. Ivashkovich S. Extension properties of meromorphic mappings with values in non-Kahler manifolds // Annals of Mathematics, v.158, № 3 (2003).

  9. Lopushansky O. and Zagorodnyuk A. Hilbert spaces of analytic functions of infinitely many   variables, Annales Polonici Mathematici 81 (2) (2003), 111–122.

  10. Vorobets Ya. On faithful actions of groups and semigroups by orientation-preserving plane isometries // Algebra Discrete Math. 2003. No.4, 118-125.

  11. Vorobets Ya. Periodic geodesics on translation surfaces // E-print, arXiv:math.DS/0308249, 21 pp. 2003.

2004

  1.  Banakh T., Plichko A. and Zagorodnyuk A. Zeros of continuous quadratic functionals on non-separable Banach spaces, Coloq. Math. 100 (1) (2004), 141–147.

  2.  Hryniv R.O., Shkalikov A.A. Exponential decay of solution energy for equations associated with some operator models of mechanics, Funct. Anal. Appl. 38 (2004) no. 3, 163–172.

  3.  Hryniv R.O., Mykytyuk Ya.V. Half–inverse problems for Sturm-Liouville operators with singular potentials, Inverse Problems 20 (2004), 1423–1444.

  4.  Hryniv R.O., Mykytyuk Ya.V. Transformation operators for Sturm-Liouville operators with singular potentials, Math. Phys. Anal. Geom. 7(2004), no. 2, 119–149.

  5.  Hryniv R.O., Mykytyuk Ya.V. Inverse spectral problems for Sturm-Liouville operators with singular potentials, II. Reconstruction by two spectra, Functional Analysis and its Applications V. Kadets and W. Zelazko, eds., North-Holland Mathematics Studies 197, 97 – 114, North-Holland Publishing Co., Amsterdam, 2004.

  6.  Bobryk R.V. and Chrzeszczyk A. Prametric resonance in coupled oscillators driven by colored noise, Europhysics Letters, v.68, 2004, 344–349.

  7.  Chernega I.V., Zagorodnyuk A.V. Application of generalized Rademacher functions to investigation of algebras of symmetric analytic functions on $L_p[0,1]$, Matematychni Studii 21(1) (2004), 64–71.

  8.  Ivashkovich S. Extension properties of meromorphic mappings with values in non-K\"ahler complex manifolds. Annals of Math. v.160, 795-837 (2004).

  9.  Ivashkovich S., Rosay J.-P. Schwarz-type lemmas for solutions of $\bar\partial$ - inequalities and complete hyperbolicity of almost complex manifolds. Annales de l'Institut Fourier, T. 54, F.7, 2387–2435 (2004).

  10.  Lopushansky O. and Zagorodnyuk A. Function Hilbert space of infinitely many variables, Functional Analysis and Topology 10 (2) (2004), 13–20.

  11.  Vorobets Ya. Periodic geodesics on generic translation surfaces // Preprint of the Max Planck Inst. Math., MPIM2004-119, 60 pp. 2004.

 2005

  1.  Albeverio S.,Hryniv R.O. and Mykytyuk Ya.V. Inverse spectral problems for Dirac operators with summable potentials, Russian J. Math. Phys. 12 (2005) no. 4, 406–423.

  2.  Albeverio S., Hryniv R.O. and Mykytyuk Ya.V. Inverse spectral problems for Sturm–Liouville operators in impedance form, J. Funct. Anal. 222 (2005), 143–177.

  3. Batkai A., Binding P., Dijksma A., Hryniv R. and Langer H. Spectral problems for operator matrices, Math. Nachrichten 278 (2005), no. 12–13, 1408–1429.

  4. Binding P., Hryniv R. and Najman B. A variational principle in Krein space II, Integr. Equat. Oper. Theory 51 (2005),  477–500.

  5. Bobryk R.V. and Chrzeszczyk A. A closure procedure for random vibration parametric resonances, Journal of Vibrations and Control, v.11, 2005, 215–223.

  6. Bobryk R.V. and Chrzeszczyk A. Transitions induced by bounded noise, Physica A, v.358, 2005, 263–272.

  7. Bobryk R.V. and Stettner L. Moment stability for linear systems with a random parametric excitation, Systems and Control Letters, v.54, 2005, 781–786.

  8. Coppersmith, Nagy, Ravsky O.V. On curves contained in convex subsets, Studia Sci. Math. Hungarica. - 2005. -  42, №1, P.107–112.

  9. Ivashkovich S., Rosay J.-P.: Upper semi-continuity of Royden-Kobayashi pseudo-norm, a counterexample for Hölderian almost complex structures. Ark. Mat. v.43, 395-401 (2005).

  10. Ivashkovich S. 1. Gauduchon metric 1-3. 2. Spherical shell in complex analytic geometry 1-3. 3. Meromorphic envelope 1-4. 4. Non-squeezing theorem 1-3. 5. Pseudoholomorphic curve 1-4. 6. Gromov-Witten invariant 1-3. 7. Quantum cohomology 1-3., Encyclopaedia of Mathematics, Kluwer, Ed. M. Hasewinkel, v. 15 (2005).

  11. Novosad Z.H., Zagorodnyuk A.V. A hypercyclic composition operator on a Hilbert space of entire functions.  Mat. Studii, – Vol.23, No.1,–2005.

2006

  1. Albeverio S., Hryniv R.O. and Mykytyuk Ya.V. On spectra of non-self-adjoint Sturm–Liouville operators, Preprint SFB 611 254 (2006).

  2. Binding P., Hryniv R. A variational principle for linear pencils of forms, Oper. Theory: Adv. Appl. 162, 71 – 83,  Birkhäuser Verlag, Basel, 2006.

  3. Chirka E., Ivashkovich S. On non-imbeddability of Hartogs figures into complex manifolds. Bulletin de la SMF v. 134, F 2, 261–267 (2006).

  4. Hryniv R.O., Mykytyuk Ya.V. Eigenvalue asymptotics for Sturm-Liouville operators with singular potentials, J. Funct. Anal.  (2006) 238, no. 1, 27–57.

  5. Hryniv R.O., Mykytyuk Ya.V. Inverse spectral problems for Sturm-Liouville operators with singular potentials, IV. Potentials in the Sobolev space scale, Proc. Edinb. Math. Soc. 49 (2006), no. 2, 309–329.

  6. Pyrch N.M., Ravsky O.V. Free paratopological groups, Matematychni Studii. – 2006. – 25, № 2 – P. 115–125.

  7. Zagorodnyuk A. Spectra of Algebras of Entire Functions on Banach Spaces, Proc. Amer. Math. Soc. 134 (2006), 2559–2569.

2007p.

  1. O.Lopushansky, A.Zagorodnyuk, Representing Measures and Infinite-dimensional Holomorphy , Journal of Mathematical Analysis and Applications. 333(2007) 614 – 625.
  2. A.Zagorodnyuk, Spectra of Algebras of Analytic Functions and Polynomials on Banach Spaces, Contemporary Mathematics. Vol. 435, 2007 – P.381 – 394.
    S.Albeverio, R.O.Hryniv, and Ya.V.Mykytyuk, Inverse spectral problems for Bessel operators, J. Diff. Equat. 241 (2007), no. 1, 130–159.
  3. S.Albeverio, R.O.Hryniv, and Ya.V.Mykytyuk, Inverse spectral problems for coupled oscillating systems, Inverse Problems 23 (2007), 1181–1200.
    S.Albeverio, R.O.Hryniv, and Ya.V.Mykytyuk, Reconstruction of radial Dirac operators, J. Math. Phys. 48 (2007), no. 4, 043501 (14p.)
  4. S.Albeverio, R.O.Hryniv, and L.P.Nizhnik, Inverse spectral problems for non-local Sturm–Liouville operators, Inverse Problems 23 (2007), 523–535.
    S.Ivashkovich, V.Shevchishin "Local properties of  J-complex curves in Lipschitz structures", preprint. http://xxx.lanl.gov/pdf/0707.0771
  5. R.V. Bobryk, Closure method and asymptotic expansions for linear stochastic systems. - Journal of Mathematical Analysis  and Applications, 2007, vol. 329, 703-711.
  6. R.V. Bobryk, Comparison of some approaches to stability of SDOF system under random parametric excitation. – Journal of Sound and Vibration, 2007, vol. 305, 317-321.
  7. A. Zagorodnyuk, Z. Mozhyrovska, Polynomial automorphisms and hypercyclic operators on spaces of analytic functions, Archiv der Mathematik. 89 (December 2007), No.2, 157-166.
  8. Загороднюк А., Чернега І. Алгебра симетричних аналітичних функцій на полідиску в  // Математичний вісник НТШ. Т.4 . – 2007 – С. 100-106.
  9. Лозинська В.Я. Функціональне числення для диференціальних операторів Лежандра // Математичний вісник НТШ. Т.4 . – 2007 – С. 193-200.
  10. Лозинська В.Я., М’яус О.М. Функціональне числення в згорткових алгебрах узагальнених функцій експоненціального типу // Науковий вісник Чернівецького університету. Математика. Вип. 349. – 2007. – С.79-82.
  11. Митрофанов М.А. Апроксимація неперервних функцій на дійсних банахових просторах // Прикл. проблеми мех. і мат. – 2007. – Вип. 5 – С. 48-51.

2008p.

  1. O.V. Lopushansky, Hilbertian Hardy classes associated with unitary compact groups, A section in the book “Actually Problems of Mathematics”, Publishing Grodno University  (2008), 105-120.
  2. O.V. Lopushansky, Ultradistributions on infinitedimentional spaces: Laplace transformation and differentiation, Banach Center Publication. V (2008), 87-98.
    S. Albeverio, R.O. Hryniv, and Ya.V. Mykytyuk, Reconstruction of radial Dirac and Schr\"odinger operators from two spectra, J. Math. Anal. Appl. 399 (2008), No. 1, 45-57.
  3. S. Albeverio, R.O. Hryniv, and Ya.V. Mykytyuk, On spectra of non-self-adjoint Sturm-Liouville operators, Selecta Math. (N.S.)13 (2008), 571-599.
    Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Mathias Schacht, Oleg Verbitsky. Obfuscated Drawings of Planar Graphs // arXiv:0803.0858v2 [cs.DM] http://arxiv.org/abs/0803.0858v2
  4. Боценюк О. М. Про оцінки спадання за часом розв’язків другої змішаної задачі для одного квазілінійного параболічного рівняння // Мат. методи та фіз.-мех. поля. – 2008. – 51, № 1. – С .25–32.
  5. Лозинська В.Я., М’яус О.М. Функціональне числення для регулярних еліптичних диференціальних операторів // Вісник Львівського університету. Серія мех.-мат. - 2008. Вип. 68. – С. 171-178.