Full list of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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2024 |
1. |
Yu. Kordyukov, V. Manuilov, “On topological obstructions to the existence of non-periodic Wannier bases”, J. Math. Phys., 65 (2024), 033506 , 11 pp. |
2. |
Yu. Kordyukov, F. Sukochev, D. Zanin, “$C^{\ast}$-algebraic approach to the principal symbol. III”, J. Noncommut. Geom., 18 (2024), 1265–1314
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1
[x]
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3. |
J. A. Álvarez López, Y. A. Kordyukov, E. Leichtnam, “Topology of the space of conormal distributions”, J. Pseudo-Differ. Oper. Appl., 15 (2024), 47 , 68 pp. |
4. |
Yu. A. Kordyukov, “Exponential localization for eigensections of the Bochner-Schrödinger operator”, Russian J. Math. Phys., 31:3 (2024), 461–476 |
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2023 |
5. |
Yu. A. Kordyukov, “Semiclassical asymptotic expansions for functions of the Bochner-Schrödinger operator”, Russian Journal of Mathematical Physics, 30:2 (2023), 192–208 |
6. |
Yu. A. Kordyukov, I. A. Taimanov, “Quasi-Classical Approximation of Monopole Harmonics”, Math. Notes, 114:6 (2023), 1285–1296 |
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2022 |
7. |
J.A. Alvarez Lopez, Yu. A. Kordyukov, E. Leichtnam, “Simple foliated flows”, Tohoku Math. J., 74:1 (2022), 53–81
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1
[x]
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8. |
Y. A. Kordyukov, “Semiclassical spectral analysis of the Bochner–Schrödinger operator on symplectic manifolds of bounded geometry”, Anal.Math.Phys., 12 (2022), 22 , 37 pp.
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7
[x]
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9. |
Y. A. Kordyukov, “Berezin-Toeplitz quantization asssociated with higher Landau levels of the Bochner Laplacian”, J. Spectral Theory, 12 (2022), 143–167
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6
[x]
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10. |
Y. A. Kordyukov, I. A. Taimanov, “Trace formula for the magnetic Laplacian on a compact hyperbolic surface”, Regular and Chaotic Dynamics, 27:4 (2022), 460–476
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3
[x]
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11. |
Yu. A. Kordyukov, “Berezin–Toeplitz Quantization on Symplectic Manifolds of Bounded Geometry”, Math. Notes, 112:4 (2022), 576–587 |
12. |
Yu. A. Kordyukov, “Trace formula for the magnetic Laplacian at zero energy level”, Russian Math. Surveys, 77:6 (2022), 1107–1148 |
13. |
A. V. Bolsinov, V. M. Buchstaber, A. P. Veselov, P. G. Grinevich, I. A. Dynnikov, V. V. Kozlov, Yu. A. Kordyukov, D. V. Millionshchikov, A. E. Mironov, R. G. Novikov, S. P. Novikov, A. A. Yakovlev, “Iskander Asanovich Taimanov (on his 60th birthday)”, Russian Math. Surveys, 77:6 (2022), 1159–1168 |
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2021 |
14. |
I. Androulidakis, Yu. A. Kordyukov, “Riemannian metrics and Laplacians for generalized smooth distributions”, Journal of Topology and Analysis, 13:2 (2021), 395–441 |
15. |
Y. A. Kordyukov, “Heat kernels estimates for Hermitian line bundles on manifolds of bounded geometry”, Mathematics, 9:23 (2021), 3060 , 15 pp.
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1
[x]
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16. |
I. Androulidakis, Yu. A. Kordyukov, “Laplacians on generalized smooth distributions as $C^*$-algebra multipliers”, Differential Equations on Manifolds and Mathematical Physics, Trends in Mathematics, eds. Manuilov, V., Mishchenko, A.S., Nazaikinskii, V.E., Schulze, B.-W., Zhang, W., Birkhäuser, Cham, 2021, 11–30 |
17. |
O. V. Anashkin, P. M. Akhmet'ev, D. V. Balandin, M. K. Barinova, I. V. Boykov, V. N. Belykh, P. A. Vel'misov, I. Yu. Vlasenko, O. E. Galkin, S. Yu. Galkina, V. K. Gorbunov, S. D. Glyzin, S. V. Gonchenko, A. S. Gorodetski, E. V. Gubina, E. Ya. Gurevich, A. A. Davydov, L. S. Efremova, R. V. Zhalnin, A. Yu. Zhirov, E. V. Zhuzhoma, N. I. Zhukova, S. Kh. Zinina, Yu. S. Ilyashenko, N. V. Isaenkova, A. O. Kazakov, A. V. Klimenko, S. A. Komech, Yu. A. Kordyukov, V. E. Kruglov, E. V. Kruglov, E. B. Kuznetsov, S. K. Lando, Yu. A. Levchenko, L. M. Lerman, M. I. Malkin, D. S. Malyshev, V. K. Mamaev, T. Ph. Mamedova, V. S. Medvedev, T. V. Medvedev, D. I. Mints, T. M. Mitryakova, A. D. Morozov, A. I. Morozov, E. V. Nozdrinova, E. N. Pelinovsky, Ya. B. Pesin, A. S. Pikovsky, S. Yu. Pilyugin, G. M. Polotovsky, O. V. Pochinka, I. D. Remizov, P. E. Ryabov, A. S. Skripchenko, A. V. Slunyaev, S. V. Sokolov, L. A. Sukharev, E. A. Talanova, V. A. Timorin, S. B. Tikhomirov, V. F. Tishkin, D. V. Treschev, D. , “To the 75th anniversary of Vyacheslav Zigmundovich Grines”, Zhurnal SVMO, 23:4 (2021), 472–476 |
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2020 |
18. |
Yu. A. Kordyukov, “Semiclassical spectral analysis of Toeplitz operators on symplectic manifolds: the case of discrete wells”, Math. Z., 296 (2020), 911–943
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1
[x]
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19. |
J.A. Alvarez Lopez, Yu. A. Kordyukov, E. Leichtnam, “Analysis on Riemannian foliations of bounded geometry”, Münster J. of Math., 13 (2020), 221–265 |
20. |
Yu. A. Kordyukov, I. A. Taimanov, “Quasi-classical approximation for magnetic monopoles”, Russian Math. Surveys, 75:6 (2020), 1067–1088 |
21. |
Yu. A. Kordyukov, “The spectral density function of the renormalized Bochner Laplacian on a symplectic manifold”, Juornal of Mathematical Sciences, 251:5 (2020), 696–712 |
22. |
M. Braverman, V. M. Buchstaber, M. Gromov, V. Ivrii, Yu. A. Kordyukov, P. Kuchment, V. Maz'ya, S. P. Novikov, T. Sunada, L. Friedlander, A. G. Khovanskii, “Mikhail Aleksandrovich Shubin (obituary)”, Russian Math. Surveys, 75:6 (2020), 1143–1152 |
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2019 |
23. |
Yu. A. Kordyukov, I. A. Taimanov, “Trace formula for the magnetic Laplacian”, Russian Math. Surveys, 74:2 (2019), 325–361 |
24. |
Yu. A. Kordyukov, X. Ma, G. Marinescu, “Generalized Bergman kernels on symplectic manifolds of bounded geometry”, Comm. Partial Differential Equations, 44 (2019), 1037–1071
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6
[x]
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25. |
Yu. A. Kordyukov, “On asymptotic expansions of generalized Bergman kernels on symplectic manifolds”, St. Petersburg Math. J., 30 (2019), 267–283 |
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2021 |
26. |
Yu. A. Kordyukov, “Laplacians on smooth distributions as $C^*$-algebra multipliers”, Journal of Mathematical Sciences, 252:2 (2021), 190–212 |
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2017 |
27. |
Yu. A. Kordyukov, “Laplacians on smooth distributions”, Sb. Math., 208:10 (2017), 1503–1522 |
28. |
Yu. A. Kordyukov, “On asymptotic expansions of generalized Bergman kernels on symplectic manifolds”, Mezhdunarodnaya matematicheskaya konferentsiya po teorii funktsii, posvyaschennaya 100-letiyu chl.-korr. AN SSSR A.F. Leonteva (Ufa, 24–27 maya 2017 g.), RITs BashGU, Ufa, 2017, 190-191 |
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2016 |
29. |
Yu. Kordyukov, N. Raymond, San Vu Ngoc, B. Helffer, “Magnetic Wells in Dimension Three”, Analysis & PDE, 9:7 (2016), 1575–1608
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13
[x]
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30. |
Yu. Kordyukov, M. Lejmi, P. Weber, “Seiberg–Witten invariants on manifolds with Riemannian foliations of codimension 4”, Journal of Geometry and Physics, 107 (2016), 114–135 , North-Holland
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4
[x]
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2015 |
31. |
Y. A. Kordyukov, V. A. Pavlenko, “On Lefschetz formulas for flows on foliated manifolds”, Ufa Math. Journal, 7:2 (2015), 71–101 |
32. |
Yu. A. Kordyukov, A. A. Yakovlev, “On a problem in geometry of numbers arising in spectral theory”, Russian Journal of Mathematical Physics, 22:4 (2015), 473–482 , Pleiades Publishing
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1
[x]
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33. |
Yu. A. Kordyukov, A. A. Yakovlev, “The number of integer points in a family of anisotropically expanding domains”, Monatshefte für Mathematik, 178:1 (2015), 97–111 , Springer Vienna
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2
[x]
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34. |
B. Helffer, Yu. A. Kordyukov, “Accurate semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator”, Annales Henri Poincaré, 16:7 (2015), 1651–1688 , Springer Basel
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10
[x]
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35. |
Yu. A. Kordyukov, “Kvaziklassicheskii analiz spektra trekhmernogo operatora Shredingera s magnitnymi yamami”, Spektralnye zadachi, nelineinyi i kompleksnyi analiz, Sbornik tezisov mezhdunarodnoi nauchnoi konferentsii (Ufa, 01-03 oktyabrya 2015 g.), eds. Fazullin Z.Yu., Bashkirskii gosudarstvennyi universitet, Ufa, 2015, 88–90 |
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2014 |
36. |
Yu. A. Kordyukov, V. A. Pavlenko, “Singular integral operators on a manifold with a distinguished submanifold”, Ufa Math. Journal, 6:3 (2014), 35–68 |
37. |
J. A. Alvarez Lopez, Yu. A. Kordyukov, E. Leichtnam, “Riemannian foliations of bounded geometry”, Mathematische Nachrichten, 287:14-15 (2014), 1589–1608
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3
[x]
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38. |
B. Helffer, Yu. A. Kordyukov, “Semiclassical spectral asymptotics for a magnetic Schrödinger operator with non-vanishing magnetic field”, Geometric Methods in Physics, Springer International Publishing, 2014, 259–278
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9
[x]
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2013 |
39. |
B. Helffer, Yu. A. Kordyukov, “Eigenvalue estimates for a three-dimensional magnetic Schrödinger operator”, Asymptotic Analysis, 82:1–2 (2013), 65–89 , IOS Press
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2
[x]
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40. |
Yu. A. Kordyukov, A. A. Yakovlev, “Adiabatic Limits and Related Lattice Point Problems”, Microlocal Methods in Mathematical Physics and Global Analysis, Springer Basel, 2013, 25–28 |
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2012 |
41. |
Yu. A. Kordyukov, A. A. Yakovlev, “The Problem of the Number of Integer Points in Families of Anisotropically Expanding Domains, with Applications to Spectral Theory”, Math. Notes, 92:4 (2012), 574–576 |
42. |
Yu. A. Kordyukov, “Classical and quantum ergodicity on orbifolds”, Russian Journal of Mathematical Physics, 19:3 (2012), 307–316 , Sp Maik Nauka/Interperiodica
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2
[x]
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43. |
B. Helffer, Yu. A. Kordyukov, “Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator II: The case of degenerate wells”, Communications in Partial Differential Equations, 37:6 (2012), 1057–1095 , Taylor & Francis Group
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5
[x]
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44. |
Yu. A. Kordyukov, A. A. Yakovlev, “Integer points in domains and adiabatic limits”, St. Petersburg Math. J., 23:6 (2012), 977–987 |
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2011 |
45. |
Yuri A. Kordyukov, “Classical and Quantum Dynamics on Orbifolds”, SIGMA, 7 (2011), 106 , 12 pp., arXiv: 1111.5409
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1
[x]
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46. |
Yu. A. Kordyukov, “Adiabatic limits and noncommutative Weyl formula”, Geometry, Exploratory Workshop on Differential Geometry and Its Applications, Cluj Univ. Press, Cluj-Napoca, 2011, 83–107 |
47. |
B. Helffer, Yu. A. Kordyukov, “Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator: the case of discrete wells”, Spectral theory and geometric analysis, Contemp. Math., 535, Amer. Math. Soc., Providence, RI, 2011, 55–78
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13
[x]
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2010 |
48. |
Yu. A. Kordyukov, “Noncommutative Hamiltonian dynamics on foliated manifolds”, Journal of Fixed Point Theory and Applications, 7:2 (2010), 385–399 |
49. |
Yu. A. Kordyukov, “Classical and quantum dynamics in transverse geometry of Riemannian foliations”, Spectrum and dynamics, CRM Proc. Lecture Notes, 52, Amer. Math. Soc., Providence, RI, 2010, 57–74
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1
[x]
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2009 |
50. |
Yu. A. Kordyukov, “Index theory and non-commutative geometry on foliated manifolds”, Russian Math. Surveys, 64:2 (2009), 273–391 |
51. |
B. Helffer, Yu. A. Kordyukov, “Semiclassical analysis of Schrödinger operators with magnetic wells”, Spectral and scattering theory for quantum magnetic systems, Contemp. Math., 500, Amer. Math. Soc., Providence, RI, 2009, 105–121
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4
[x]
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52. |
B. Helffer, Yu. A. Kordyukov, “Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: analysis near the bottom”, Journal of Functional Analysis, 257:10 (2009), 3043–3081 , Academic Press
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9
[x]
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2008 |
53. |
Yu. A. Kordyukov, B. Helffer, “Periodic Magnetic Schrödinger Operators: Spectral Gaps and Tunneling Effect”, Proc. Steklov Inst. Math., 261 (2008), 171–182 |
54. |
J. A. Alvarez Lopez, Yu. A. Kordyukov, “Transversality and Lefschetz numbers for foliation maps”, Journal of Fixed Point Theory and Applications, 3:2 (2008), 273–305 |
55. |
Yu. A. Kordyukov, “Noncommutative geometry of foliations”, Journal of K-theory: K-theory and its Applications to Algebra, Geometry, and Topology, 2:02 (2008), 219–327 , Cambridge University Press
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6
[x]
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56. |
B. Helffer, Yu. A. Kordyukov, “Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells”, Mathematical results in quantum mechanics, World Sci. Publ., Hackensack, NJ, 2008, 137–154
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1
[x]
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57. |
Yu. A. Kordyukov, “Vanishing theorem for transverse Dirac operators on Riemannian foliations”, Annals of Global Analysis and Geometry, 34:2 (2008), 195–211 , Springer
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8
[x]
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58. |
Yu. A. Kordyukov, A. A. Yakovlev, “Adiabatic limits and the spectrum of the Laplacian on foliated manifolds”, $C^*$-algebras and elliptic theory, Trends Math., Birkhäuser, Basel, 2008, 123–144
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8
[x]
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59. |
J. A. Alvarez Lopez, Yu. A. Kordyukov, “Lefschetz distribution of Lie foliations”, $C^*$-algebras and elliptic theory, Trends Math., Birkhäuser, Basel, 2008, 1–40
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3
[x]
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60. |
B. Helffer, Yu. Kordyukov, “Semiclassical asymptotics and gaps in the spectra of periodic Schrödinger operators with magnetic wells”, Transactions of the American Mathematical Society, 360:3 (2008), 1681–1694
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4
[x]
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2007 |
61. |
Yu. A. Kordyukov, “The Egorov theorem for transverse Dirac-type operators on foliated manifolds”, Journal of Geometry and Physics, 57:11 (2007), 2345–2364 , Elsevier
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9
[x]
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62. |
Yu. A. Kordyukov, A. A. Yakovlev, “Adiabaticheskie predely i nekotorye zadachi teorii chisel”, Vestnik Ufimskogo gosudarstvennogo aviatsionnogo universiteta, 9:3 (2007), 20–23 |
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2006 |
63. |
Yu. A. Kordyukov, “Noncommutative spectral geometry of Riemannian foliations: some results and open problems”, Foliations 2005, World Sci. Publ., Hackensack, NJ, 2006, 251–291
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1
[x]
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64. |
Yu. A. Kordyukov, “Semiclassical asymptotics and spectral gaps for periodic magnetic Schrödinger operators on covering manifolds”, C*-algebras and Elliptic Theory, Birkhäuser, Basel, 2006, 129–150
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1
[x]
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65. |
Yu. A. Kordyukov, A. A. Yakovlev, “Spektr operatora Laplasa na differentsialnykh formakh na rimanovykh mnogoobraziyakh Geizenberga”, Vestnik Ufimskogo gosudarstvennogo aviatsionnogo universiteta, 7:2 (2006), 210–212 |
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2005 |
66. |
Yu. A. Kordyukov, “Egorov’s theorem for transversally elliptic operators on foliated manifolds and noncommutative geodesic flow”, Mathematical Physics, Analysis and Geometry, 8:2 (2005), 97–119 , Kluwer Academic Publishers
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6
[x]
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67. |
Yu. Kordyukov, V. Mathai, M. Shubin, “Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in $K$-theory”, J. Reine Angew. Math., 581 (2005), 193–236
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6
[x]
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68. |
Yu. A. Kordyukov, “Spectral gaps for periodic Schrödinger operators with strong magnetic fields”, Communications in mathematical physics, 253:2 (2005), 371–384 , Springer-Verlag
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4
[x]
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2002 |
69. |
Yu. A. Kordyukov, “Semiclassical spectral asymptotics on foliated manifolds”, Mathematische Nachrichten, 245:1 (2002), 104–128 , Wiley-Vch Verlag
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4
[x]
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70. |
J. A. Alvarez Lopez, Yu. A. Kordyukov, “Distributional Betti numbers of transitive foliations of codimension one”, Foliations: geometry and dynamics (Warsaw, 2000), World Sci. Publ., River Edge, NJ, 2002, 159–183 |
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2001 |
71. |
J. A. Alvarez Lopez, Yu. A. Kordyukov, “Long time behaviour of leafwise heat flow for Riemannian foliations”, Compositio Mathematica, 125:2 (2001), 129–153 , Springer
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16
[x]
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72. |
Yu. A. Kordyukov, “The trace formula for transversally elliptic operators on Riemannian foliations”, St. Petersburg Math. J., 12:3 (2001), 407–422 |
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2000 |
73. |
J. A. Alvarez Lopez, Yu. A. Kordyukov, “Adiabatic limits and spectral sequences for Riemannian foliations”, Geometric & Functional Analysis, 10:5 (2000), 977–1027 , Birkhäuser Verlag
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20
[x]
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74. |
Yu. A. Kordyukov, “$L^p$-Estimates for Functions of Elliptic Operators on Manifolds of Bounded Geometry”, Russian Journal of Mathematical Physics, 7:2 (2000), 216–229 , John Wiley & Sons, Inc. |
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1999 |
75. |
Yu. A. Kordyukov, “Adiabatic limits and spectral geometry of foliations”, Mathematische Annalen, 313:4 (1999), 763–783 , Springer
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17
[x]
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1997 |
76. |
Yu. A. Kordyukov, “Noncommutative spectral geometry of Riemannian foliations”, manuscripta mathematica, 94:1 (1997), 45–73 , Springer
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13
[x]
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1995 |
77. |
Yu. A. Kordyukov, “Functional calculus for tangentially elliptic operators on foliated manifolds”, Analysis and Geometry in Foliated Manifolds, Proceedings of the VII International Colloquium on Differential Geometry, Santiago de Compostela, 1994, World Sci. Publ, River Edge, NJ, 1995, 113–136 |
78. |
Yu. A. Kordyukov, “Semiclassical Asymptotics of the Spectrum of Hypoelliptic Operators on a Foliated Manifold”, Funct. Anal. Appl., 29:3 (1995), 211–213 |
79. |
Yu. A. Kordyukov, “Transversally elliptic operators on a G-manifold of bounded geometry”, Russian journal of mathematical physics, 3 (1995), 41–64 , John Wiley & Sons, Inc. |
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1994 |
80. |
Yu. A. Kordyukov, “Transversally elliptic operators on G-manifolds of bounded geometry”, Russian J. Math. Phys, 2:2 (1994), 175–198 |
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1993 |
81. |
Yu. A. Kordyukov, “Quasiclassical asymptotics of the spectrum of elliptic operators in a foliated manifold”, Math. Notes, 53:1 (1993), 104–105 |
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1991 |
82. |
Yu. A. Kordyukov, “$L^p$-theory of elliptic differential operators on manifolds of bounded geometry”, Acta Applicandae Mathematicae, 23:3 (1991), 223–260 , Springer
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51
[x]
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1988 |
83. |
Yu. A. Kordyukov, “$L^p$-teoriya ellipticheskikh differentsialnykh operatorov s ogranichennymi koeffitsientami”, Vestnik Moskovskogo universiteta. Seriya 1, Matematika, mekhanika, 1988, no. 4, 98–100 |
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1985 |
84. |
Yu. A. Kordyukov, “A theorem on coincidence of spectra for tangentially elliptic operators on foliated manifolds”, Funct. Anal. Appl., 19:4 (1985), 327–328 |
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