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Russian Journal of Mathematical Physics

, Volume 14, Issue 4, pp 371–376 | Cite as

Vladimir A. Geyler

April 29, 1943–April 2, 2007
  • S. Albeverio
  • J. Brüning
  • S. Dobrokhotov
  • P. Exner
  • V. Koshmanenko
  • K. Pankrashkin
  • B. Pavlov
  • I. Popov
  • P. Šťovíček
Article
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V. A. Geyler — List of Publications

  1. 1.
    “Functors Defined by Reflexive K-Spaces,” Dokl. AN SSSR 188, 17–19 (1969) [Sov. Math. Doklady 10, 1052–1055 (1969)].Google Scholar
  2. 2.
    “On Continuous Selections in Uniform Spaces,” Dokl. AN SSSR 195, 17–19 (1970) [Sov. Math. Doklady 11, 1400–1402 (1969)].Google Scholar
  3. 3.
    “Some Ordered Uniform Spaces of Functions,” Sibirsk. Mat. Zh. 11, 782–792 (1970) [Siberian Math. J. 11, 592–599 (1970)].Google Scholar
  4. 4.
    “On the Completeness of Quotient Groups,” Vestnik Moskov. Univ. Ser. I Mat. Mekh. 5, 32–33 (1971); P. S. Kenderov, co-author.MathSciNetGoogle Scholar
  5. 5.
    “Order and Disjoint Completeness of Linear Partially Ordered Spaces,” Sibirsk. Mat. Zh. 13, 43–51 (1972) [Siberian Math. J. 13, 30–35 (1972)]; A. I. Veksler, co-author.MathSciNetGoogle Scholar
  6. 6.
    “Projective Objects in the Category of Locally Convex Spaces,” Funktsional. Anal. i Prilozhen. 6(2), 79–80 (1972) [Funct. Anal. Appl. 6, 149–150 (1972)].Google Scholar
  7. 7.
    “The Connection between Relatively Uniform Convergence and the Normality of a Cone in an Ordered Vector Space,” Optimization 12, 29–33 (1973).Google Scholar
  8. 8.
    “Bornological Methods in Ordered Topological Vector Spaces,” Sibirsk. Mat. Zh. 16, 501–509 (1975) [Siberian Math. J. 16, 383–389 (1975)]; I. F. Danilenko and I. I. Chuchaev, co-authors.MATHGoogle Scholar
  9. 9.
    “Some Classes of Projective Locally Convex Spaces,” Izv. Vyssh. Uchebn. Zaved. Matem. 3, 40–42 (1978) [Sov. Math. (Iz. VUZ) 22, 34–35 (1978)].Google Scholar
  10. 10.
    “Monotone Seminorms and Regular Operators in Vector Lattices That Are Similar to Extended Ones,” Rev. Roumaine Math. Pures Appl. 23, 1341–1349 (1978).Google Scholar
  11. 11.
    “On Extending and Lifting Continuous Linear Mappings in Topological Vector Spaces,” Studia Math. 62, 296–303 (1978).Google Scholar
  12. 12.
    “Generalized Duality for Locally Convex Spaces,” Funktsional. Anal. i Prilozhen. 11, 41–50 (1978); V. B. Gisin, co-author.MATHGoogle Scholar
  13. 13.
    “Weak Topology in Vector Lattices,” Izv. Vyssh. Uchebn. Zaved. Mat. 1, 3–14 (1979) [Sov. Math. (Iz. VUZ) 23, 1–9 (1979)]; Yu. A. Abramovich and A. V. Bukhvalov, co-authors.MathSciNetGoogle Scholar
  14. 14.
    “The General Principle of Local Reflexivity and Some of Its Applications in the Theory of Ordered Spaces,” Dokl. AN SSSR 254, 17–20 (1980) [Sov. Math. Doklady 22, 288–291 (1980)]; I. I. Chuchaev, co-author.MathSciNetGoogle Scholar
  15. 15.
    “Normed Lattices,” Itogi VINITI AN SSSR. Mat. Analiz 18, 125–184 (1980) [J. Soviet Math. 18, 516–551 (1982)]; A. V. Bukhvalov and A. I. Veksler, co-authors.MathSciNetGoogle Scholar
  16. 16.
    “On the Second Adjoint to a Summing Operator,” Izv. Vyssh. Uchebn. Zaved. Mat. 12, 9–14 (1982) [Sov. Math. (Iz. VUZ) 26, 9–16 (1982)]; I. I. Chuchaev, co-author.MathSciNetGoogle Scholar
  17. 17.
    “General Principle of Local Reflexivity in the Theory of Cone Duality,” Sibirsk. Mat. Zh. 23, 32–43 (1982) [Siberian Math. J. 23, 24–32 (1982)]; I. I. Chuchaev, co-author.MathSciNetGoogle Scholar
  18. 18.
    “On a Question of Fremlin Concerning Order Bounded and Regular Operators,” Colloq. Math. 46, 15–17 (1982); Yu. A. Abramovich, co-author.MathSciNetGoogle Scholar
  19. 19.
    “Spaces of Measurable Vector-Functions Not Containing the Space l 1,” Mat. Zametki 34, 427–432 (1983) [Math. Notes 34, 698–700(1984)]; L. V. Chubarova, co-author.MathSciNetGoogle Scholar
  20. 20.
    “Spectrum of the Bloch Electron in a Magnetic Field in a Two-Dimensional Lattice,” Teoret. Mat. Fiz. 58, 461–472 (1984) [Theoret. and Math. Phys. 58, 1948–1958 (1984)]; V. A. Margulis, co-author.MathSciNetGoogle Scholar
  21. 21.
    “Structure of the Spectrum of a Bloch Electron in a Magnetic Field in a Two-Dimensional Lattice,” Teoret. Mat. Fiz. 61, 140–149 (1984) [Theoret. and Math. Phys. 61, 1049–1056 (1984)]; V. A. Margulis, co-author.MathSciNetGoogle Scholar
  22. 22.
    “On the Kuhn-Tucker Theorem in Extended K-Spaces,” Optimization 37(54), 64–68 (1986).Google Scholar
  23. 23.
    “On the Axiomatixs of New Geometry Textbooks,” Matem. v Shkole 6, 47–48 (1987); N. I. Plekhanova and A. A. Tremaskina, co-authors.Google Scholar
  24. 24.
    “Anderson Localization in the Nondiscrete Maryland Model,” Teoret. Mat. Fiz. 70, 192–201 (1987) [Theoret. and Math. Phys. 70, 133–140 (1987)]; V. A. Margulis, co-author.MathSciNetGoogle Scholar
  25. 25.
    “Density of States of Two-Dimensional Electrons in the Presence of a Magnetic Field and a Random Potential in Exactly Solvable Models,” Zh. Eksper. Teor. Fiz. 95, 1134–1145 (1989) [Soviet Physics. JETP 68, 654–660 (1989)]; V. A. Margulis, co-author.Google Scholar
  26. 26.
    “The Two-Dimensional Schrödinger Operator with a Uniform Magnetic Field and Its Perturbation by Periodic Zero-Range Potentials,” Algebra i Analiz 3, 1–48 (1991) [St. Petersburg Math. J. 3, 489–532 (1992)].Google Scholar
  27. 27.
    “Scattering by an Isolated Impurity in a Quantum Channel in a Magnetic Field,” Pis’ma v ZhETF 58, 668–671 (1993) [JETP Letters 58, 648–652 (1993)]; V. A. Margulis and I. I. Chuchaev, co-authors.ADSGoogle Scholar
  28. 28.
    “Magnetic Susceptibility of a Quasi-Two-Dimensional System in a Tilted Magnetic Field,” Fiz. Tverd. Tela 36, 1994–2009 (1994) [Phys. Solid State 36, 1090–1097 (1994)]; V. A. Margulis, I. I. Chuchaev, and A. G. Nesmelov, co-authors.Google Scholar
  29. 29.
    “Resonant Tunnelling in Zero-Dimensional Systems: Explicitly Solvable Model,” Phys. Lett. A 187, 410–412 (1994); I. Yu. Popov, co-author.ADSCrossRefGoogle Scholar
  30. 30.
    “The Spectrum of a Magneto-Bloch Electron in a Periodic Array of Quantum Dots: Explicitly Solvable Model,” Z. Phys. B 93, 437–439 (1994); I. Yu. Popov, co-author.CrossRefADSGoogle Scholar
  31. 31.
    “Conductivity of an Electron Gas in a Quantizing Magnetic Field with Scattering on Point Defects,” Zh. Eksper. Teor. Fiz. 107, 187–195 (1995) [JETP 80, 100–104] (1995); V. A. Margulis, I. V. Chudaev, and I. I. Chuchaev, co-authors.Google Scholar
  32. 32.
    “Zero-Range Potentials and Carleman Operators,” Sibirsk. Mat. Zh. 36, 828–841 (1995) [Siberian Math. J. 36, 714–726 (1995)]; V. A. Margulis, and I. I. Chuchaev, co-authors.MathSciNetGoogle Scholar
  33. 33.
    “Spectrum of the Three-Dimensional Landau Operator Perturbed by a Periodic Point Potential,” Teoret. Mat. Fiz. 103, 283–294 (1995) [Theor. and Math. Phys. 103, 561–569 (1995)]; V. V. Demidov, co-author.MathSciNetGoogle Scholar
  34. 34.
    “Charge Carrier Scattering by Point Defects in Semiconductor Structures,” Fiz. Tverd. Tela 37, 837–844 (1995) [Phys. Solid State 37, 455-458 (1995)]; V. A. Margulis and I. I. Chuchaev, co-authors.Google Scholar
  35. 35.
    “One More Construction Which Is Impossible,” Amer. Math. Monthly 102, 632–634 (1995).Google Scholar
  36. 36.
    “Group-Theoretical Analysis of Lattice Hamiltonians with a Magnetic Field,” Phys. Lett. A 201, 359–364 (1995); I. Yu. Popov, co-author.MATHADSMathSciNetCrossRefGoogle Scholar
  37. 37.
    “Quasi-Two Dimensional Charged Particle in a Tilted Magnetic Field: Asymptotical Properties of the Spectrum,” Russ. J. Math. Phys. 3, 413–422 (1995); M. A. Antonets, co-author.MATHMathSciNetGoogle Scholar
  38. 38.
    “Periodic Array of Quantum Dots in a Magnetic Field: Irrational Flux; Honeycomb Lattice,” Z. Phys B 98, 473–477 (1995); I. Yu. Popov, co-author.CrossRefADSGoogle Scholar
  39. 39.
    “On Lacunae in the Spectrum of the Three-Dimensional Periodic Schrödinger Operator with a Magnetic Field,” Uspekhi Mat. Nauk 50(1), 195–196 (1995) [Russian Math. Surveys 50 (1), 198–199 (1995)]; V. A. Margulis and I. I. Chuchaev, co-authors.MathSciNetGoogle Scholar
  40. 40.
    “Explicitly Solvable Quantum-Mechanical Models of a Charged Particle in a Magnetic Field,” Mat. Model. 7(5), 26–28 (1995).Google Scholar
  41. 41.
    “Harmonic Oscillator with a Moving Point Perturbation,” Mat. Model. 7(5), 45 (1995); V. A. Margulis and I. V. Chudaev, co-authors.MATHGoogle Scholar
  42. 42.
    “Spectrum Structure for the Three-Dimensional Periodic Landau Operator,” Algebra i Analiz 8, 100–120 (1996) [St. Petersburg Math. J. 8, 447–462 (1997)]; V. A. Margulis and I. I. Chuchaev, co-authors.Google Scholar
  43. 43.
    “Magnetic Moment of a Parabolic Quantum Well in a Perpendicular Magnetic Field,” Zh. Eksper. Teor. Fiz. 109, 762–773 (1996) [JETP 82, 409–415 (1996)]; V. A. Margulis and I. V. Chudaev, co-authors.Google Scholar
  44. 44.
    “Point Perturbation-Invariant Solutions of the Schrödinger Equation with a Magnetic Field,” Mat. Zametki 60, 768–763 (1996) [Math. Notes 60, 575–580 (1996)]; V. A. Margulis, co-author.MathSciNetGoogle Scholar
  45. 45.
    “Topological Structure of the Fiber Bundle of Fermion Eigenvectors on a Lattice in a Magnetic Field,” Pis’ma v ZhETF 63, 367–368 (1996) [JETP Letters 63, 381–383(1996)]; I. Yu. Popov, co-author.ADSGoogle Scholar
  46. 46.
    “Magnetic Moment of a Quasi-One-Dimensional Nanostructure in an Inclined Magnetic Field,” Pis’ma v ZhETF 63, 549–552 (1996) [JETP Letters 63, 578–582 (1996)]; V. A. Margulis and O. B. Tomilin, co-authors.ADSGoogle Scholar
  47. 47.
    “Ballistic Transport in Nanostructures: Explicitly Solvable Model,” Teoret. Mat. Fiz. 107, 12–20 (1996) [Theoret. and Math. Phys. 107, 427–434 (1996)]; I. Yu. Popov, co-author.Google Scholar
  48. 48.
    “Spectral Properties of a Charged Particle in Antidot Array: A Limiting Case of Quantum Billiard,” J. Math. Phys. 37, 5171–5194 (1996); B. S. Pavlov and I. Yu. Popov, co-authors.MATHADSMathSciNetCrossRefGoogle Scholar
  49. 49.
    “First Chern Class of Lattice Magneto-Bloch Bundles,” Rep. Math. Phys. 38, 333–338 (1996).Google Scholar
  50. 50.
    “On the Green Function of the Landau Operator and Its Properties Related to Point Interactions,” Z. Anal. Anwendungen 15, 851–863 (1996); V. V. Demidov, co-author.MATHMathSciNetGoogle Scholar
  51. 51.
    “The Spectrum of a Quasi-Two-Dimensional System in a Parallel Magnetic Field,” Zh. Vychisl. Mat. Mat. Fiz. 37, 214–222 (1997) [Comput. Math. Math. Phys. 37, 210–218 (1997)]; I. V. Chudaev, co-author.MATHMathSciNetGoogle Scholar
  52. 52.
    “Ballistic Conductance of a Quasi-One-Dimensional Microstructure in a Parallel Magnetic Field,” Zh. Eksper. Teor. Fiz. 111, 2215–2225 (1997) [JETP 84, 1209–1214 (1997)]; V. A. Margulis, co-author.Google Scholar
  53. 53.
    “Structure of the Spectrum of the Schrödinger Operator with Magnetic Field in a Strip and Infinite Gap Potentials,” Mat. Sb. 188, 21–32 (1997) [Sb. Math. 188, 657–669 (1997)]; M. M. Senatorov, co-author.MathSciNetGoogle Scholar
  54. 54.
    “Periodic Potentials for Which All Gaps Are Nontrivial,” Funktsional. Anal. i Prilozhen. 31(1), 67–70 (1997) [Funct. Anal. Appl. 31, 52–54 (1997)]; M. M. Senatorov, co-author.MathSciNetCrossRefGoogle Scholar
  55. 55.
    “Specific Heat of Quasi-Two-Dimensional Systems in a Magnetic Field,” Phys. Rev. B 55, 2543–2548 (1997); V. A. Margulis, co-author.ADSCrossRefGoogle Scholar
  56. 56.
    “Eigenvalues Imbedded in the Band Spectrum for a Periodic Array of Quantum Dots,” Rep. Math. Phys. 39, 275–281 (1997); I. Yu. Popov, co-author.MATHMathSciNetCrossRefGoogle Scholar
  57. 57.
    “Transmission Coefficient for Ballistic Transport through Quantum Resonator,” Rep. Math. Phys. 40, 531–538 (1997); I. Yu. Popov and S. L. Popova, co-authors.MATHMathSciNetCrossRefADSGoogle Scholar
  58. 58.
    “Hofstadter Butterfly for a Periodic Array of Quantum Dots,” in Integral Methods in Science and Engineering, Ed. by C. Constanda e.a. (Addison Wesley Longman, Harlow, 1997), pp. 74–78; A. V. Popov, co-author.Google Scholar
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    “Models of a Two-Dimensional Electron Systems in a Parallel Magnetic Field,” Mat. Model. 9(10), 10 (1997); M. M. Senatorov and I. V. Chudaev, co-authors.Google Scholar
  60. 60.
    “Conductance of a Quantum Wire in Longitudinal Magnetic Field,” Zh. Eksper. Teor. Fiz. 113, 1376–1396 (1998) [JETP 86, 751–762 (1998)]; V. A. Margulis and L. I. Filina, co-authors.Google Scholar
  61. 61.
    “The Spectrum of a Periodic Array of Quantum Dots with Aharonov-Bohm Vortices,” Mat. Model. 10(12), 32 (1998); A. V. Popov, co-author.Google Scholar
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    “One-Particle Spectral Problem for Superlattice with a Constant Magnetic Field,” Atti Sem. Mat. Fis. Univ. Modena 46, 79–124 (1998); B. S. Pavlov and I. Yu. Popov, co-authors.MATHMathSciNetGoogle Scholar
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    “Magnetic Moment of a Three-Dimensional Quantum Well in a Quantizing Magnetic Field,” Phys. Lett. A 244, 295–302 (1998); L. I. Filina, V. A. Margulis, and O. B. Tomilin, co-athors.ADSCrossRefGoogle Scholar
  65. 65.
    “Solvable Model of a Double Quantum Electron Layer in a Magnetic Field,” Proc. R. Soc. Lond. A454, 697–705 (1998); I. Yu. Popov, co-author.ADSGoogle Scholar
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    “Localization in a Periodic System of the Aharonov-Bohm Rings,” Rep. Math. Phys. 42, 347–358 (1998); A. V. Popov, co-author.MATHMathSciNetCrossRefGoogle Scholar
  67. 67.
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    “Magnetic Response of a Two-Dimensional Degenerate Electron Gas in Nanostructures with Cylindrical Symmetry,” Zh. Eksper. Teor. Fiz. 115, 1450–1462 (1999) [JETP 88, 800–806 (1999)]; V. A. Margulis and A. V. Shorokhov, co-authors.Google Scholar
  69. 69.
    “Gauge Periodic Point Perturbations on the Lobachevsky Plane,” Teoret. Mat. Fiz. 119, 368–380 (1999) [Theoret. and Math. Phys. 119, 687–697 (1999)]; J. Brüning, co-author.Google Scholar
  70. 70.
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  72. 72.
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  73. 73.
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    “Electron Transport Across a Microconstriction in an Arbitrarily Oriented Homogeneous Magnetic Field,” Zh. Eksper. Teor. Fiz. 117, 593–603 (2000) [JETP 90, 517–526 (2000)]; N. G. Galkin and V. A. Margulis, co-authors.Google Scholar
  76. 76.
    “Quasiballistic Electron Transport in a Three-Dimensional Microconstriction,” Zh. Eksper. Teor. Fiz. 118, 223–231 (2000) [JETP 91, 197–205 (2000)]; N. G. Galkin and V. A. Margulis, co-authors.Google Scholar
  77. 77.
    “Bound States in a Curved Nanostructure,” Pis’ma v ZhTF 26, 18–22 (2000) [Techn. Phys. Lett. 26, 99–101 (2000)]; S. Albeverio and V. A. Margulis, co-authors.Google Scholar
  78. 78.
    “Fractal Spectrum of Periodic Quantum Systems in a Magnetic Field,” Chaos Solitons Fractals 11, 281–288 (2000); I. Yu. Popov, A. V. Popov, and A. A. Ovechkina, co-authors.MATHMathSciNetCrossRefGoogle Scholar
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  83. 83.
    “Magnetic Response for an Ellipsoid of Revolution in a Magnetic Field,” Phys. Rev. B 62, 11517–11526 (2000); D. V. Bulaev and V. A. Margulis, co-authors.ADSCrossRefGoogle Scholar
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  87. 87.
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  89. 89.
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  90. 90.
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    “Density of States for Carbon Nanotubes in the Presence of a Uniform Magnetic Field,” Fiz. Tverd. Tela 44, 449–451 (2002) [Phys. Solid State 44, 467–469 (2002)]; O. G. Kostrov and V. A. Margulis, co-authors.Google Scholar
  93. 93.
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    “Effect of the Surface Curvature on the Magnetic Moment and Persistent Currents in Two-Dimensional Quantum Rings and Dots,” Phys. Rev. B69, 195213,1–9 (2004); D. V. Bulaev and V. A. Margulis, co-authors.Google Scholar
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  108. 108.
    “Spectral Properties of Schrödinger Operators on Decorated Graphs,” Mat. Zametki 77, 932–935 (2005) [Math. Notes 77, 858–861 (2005)]; J. Brüning and I. Lobanov, co-authors.Google Scholar
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  110. 110.
    “On the Theory of Multiple Scattering of Waves and the Optical Potential for a System of Point-Like Scatterers. An Application to the Theory of Ultracold Neutrons,” Russ. J. Math. Phys. 12, 157–167 (2005); J. Brüning, S. Yu. Dobrokhotov, and T. Ya. Tudorovskiy, co-authors.MATHMathSciNetGoogle Scholar
  111. 111.
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Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  • S. Albeverio
  • J. Brüning
  • S. Dobrokhotov
  • P. Exner
  • V. Koshmanenko
  • K. Pankrashkin
  • B. Pavlov
  • I. Popov
  • P. Šťovíček

There are no affiliations available

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