Spectral Theory and

Differential Operators


August 27-31, 2012       TU Graz, Austria
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List of plenary talks

  1. Wolfgang Arendt,  Does diffusion determine the domain?   abstract

  2. Malcolm Brown,  Scattering and inverse scattering for a left-definite Sturm-Liouville problem   abstract

  3. Pavel Exner,  Spectral estimates for Schrödinger operators with unusual semiclassical behaviour   abstract

  4. Gerd Grubb,  Eigenvalue asymptotics for nonsmooth singular Green operators   abstract

  5. Heinz Langer,  The Bessel operator with an inner singularity and Pontryagin spaces   abstract

  6. Mark Malamud,  Spectral theory of Schrödinger operators with infinitely many point interactions and radial positive definite functions   abstract

  7. Andrei Shkalikov,  Spectral portraits of non-self-adjoint Sturm-Liouville operators with small physical parameter   abstract

  8. Peter Stollmann,  Spectral properties of quasicrystal Laplacians   abstract

  9. Christiane Tretter,  Spectral enclosures for block operator matrices   abstract

  10. Simone Warzel,  Resonant delocalization: the phase diagram of the Anderson model on trees   abstract

List of contributed talks

  1. Boulbeba Abdelmoumen,  Essential spectra of some matrix operators by means of measures of noncompactness   abstract

  2. Vadym Adamyan,  Local scattering theory and scattering matrices for quantum chains   abstract

  3. Kerstin Ammann,  Relative oscillation theory for Jacobi operators   abstract

  4. Nikita Artamonov,  Estimate of the decay exponent of an operator semigroup associated with a second-order linear differential equation   abstract

  5. Andras Batkai,  Product formulas for operator matrix semigroups   abstract

  6. Sergey Belyi,  On sectorial classes of inverse Stieltjes functions   abstract

  7. Evgen Cheremnikh,  On an analogue of formulae Sohotski-Plemelj   abstract

  8. Yiannis Christodoulides,  Asymptotic generalized value distribution of solutions of the Schrodinger equation   abstract

  9. Jonathan Eckhardt,  The inverse spectral transform for the dispersionless Camassa-Holm equation   abstract

  10. Tom ter Elst,  The Dirichlet-to-Neumann operator on rough domains   abstract

  11. Karl-Heinz Foerster,  On the buckling operator of an unbounded operator   abstract

  12. Uta Freiberg,  Spectral dimension of V-variable fractals   abstract

  13. Gyoergy Geher,  Positive operators arising from contractions   abstract

  14. Aurelian Gheondea,  Triplets of closely embedded Hilbert spaces and Dirichlet type spaces on the unit polydisc   abstract

  15. Daphne Gilbert,  Spectral multiplicity for the one-dimensional Schroedinger operator on the line   abstract

  16. Katrin Grunert,  Global solutions of the two-component Camassa-Holm system   abstract

  17. Marcel Hansmann,  Variation of discrete spectra of non-selfadjoint operators   abstract

  18. Seppo Hassi,  Some new subclasses of generalized Nevanlinna functions   abstract

  19. Boris Kats,  The jump problem for holomorphic functions on non-rectifiable arc and $\overline{\partial}$-equation.   abstract

  20. Victor Katsnelson,  Spectral theory of the truncated Fourier operator   abstract

  21. Matthias Keller,  Volume growth and spectra of Dirichlet forms   abstract

  22. Laszlo Kerchy,  On the Sz.-Nagy-Foias functional calculus   abstract

  23. Alexander Komech,  On global attractors of nonlinear hyperbolic PDEs   abstract

  24. Elena Kopylova,  On asymptotic stability of kinks for relativistic Ginzburg-Landau equation   abstract

  25. Aleksey Kostenko,  Spectral asymptotics for perturbed spherical Schroedinger operators and applications to quantum scattering   abstract

  26. Marjeta Kramar Fijavz,  Diffusion in networks with time-dependent coefficients   abstract

  27. Bilel Krichen,  Gamma-hypercyclic set of a bounded linear operator   abstract

  28. Matthias Langer,  Spectral estimates and basis properties for block operator matrices   abstract

  29. Leslie Leben,  Variation of discrete spectra of self-adjoint operators in Krein spaces   abstract

  30. Annemarie Luger,  On the multiplicity of generalized poles   abstract

  31. Anton Lunyov,  On completeness of the root vector system of boundary value problem for first order system   abstract

  32. Pedro Jose Miana Sanz,  An extension problem for fractional powers of generators   abstract

  33. Vadim Mogilevskii,  On Titchmarsh-Weyl functions and eigenfunction expansions of first-order symmetric systems   abstract

  34. Volodymyr Molyboga,  Spectral gaps of the 1-d Schroedinger operators with periodic distributional potentials   abstract

  35. Alexander Motovilov,  The a priori tan\Theta theorem for spectral subspaces   abstract

  36. Hagen Neidhardt,  On the abstract Landauer-Buettiker formula and applications   abstract

  37. Konstantin Pankrashkin,  On the unitary equivalence between differential and finite-difference operators on graphs   abstract

  38. Christine Pfeuffer,  Classification of non-smooth pseudodifferential operators   abstract

  39. Friedrich Philipp,  Eigenvalues in gaps of selfadjoint operators in Pontryagin spaces   abstract

  40. Olaf Post,  Boundary pairs and Dirichlet-to-Neumann operators   abstract

  41. Dmytro Puyda,  Inverse spectral problems for Dirac operators with summable matrix-valued potentials   abstract

  42. Sergey Pyatkov,  Existence of maximal semidefinite invariant subspaces and semigroup properties of some classes of ordinary differential operators   abstract

  43. Andre Ran,  The finite section method for infinite Vandermonde matrices   abstract

  44. Nadezda Rautian,  Spectral analysis and representations of solutions of abstract integro-differential equations in a Hilbert space   abstract

  45. Rafael del Rio,  Spectral measures of Jacobi operators with random potentials   abstract

  46. Constanza Rojas-Molina,  Dynamical localization for Delone-Anderson operators   abstract

  47. Stephan Schmitz,  The operator div A grad for sign-indefinite A   abstract

  48. Fabian Schwarzenberger,  Existence of the integrated density of states for Hamiltonians on Cayley graphs   abstract

  49. Felix Schwenninger,  Generators with a closure relation   abstract

  50. Albrecht Seelmann,  On an estimate in the subspace perturbation problem   abstract

  51. Markus Seidel,  Approximation of spectra and pseudospectra of bounded linear operators on Banach spaces   abstract

  52. Pavel Shabalin,  Existence and set of solutions of the Riemann-Hilbert boundary value problem with a two - side curling at infinity of the order less than 1   abstract

  53. Mohammad Shahriari,  Uniqueness for inverse Sturm-Liouville problems using three spectra with a finite number of transmission conditions   abstract

  54. Sergey Simonov,  Spectral multiplicity of Schrodinger operators on star-graphs   abstract

  55. Olof Staffans,  Passive scattering systems   abstract

  56. Liudmila Sukhocheva,  On matrices with the dominant main diagonal   abstract

  57. Attila Szalai,  Characterization of stability of contractions   abstract

  58. Martin Tautenhahn,  Localization for non-monotone Anderson-type models   abstract

  59. Mechthild Thalhammer,  Convergence analysis of high-order time-splitting pseudo-spectral methods for a class of nonlinear Schrödinger equations   abstract

  60. Vadim Tkachenko,  A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions   abstract

  61. Sascha Trostorff,  On a class of boundary control systems   abstract

  62. Victor Vlasov,  Spectral analysis and correct solvability of abstract integro-differential equations in a Hilbert space   abstract

  63. Hendrik Vogt,  Large time behaviour of heat kernels and admissible potentials   abstract

  64. Marcus Waurick,  A Hilbert space perspective on ordinary differential equations with memory term   abstract

  65. Ricardo Weder,  High and low energy analysis and Levinson's theorem for the self-adjoint matrix Schrödinger operator on the half line   abstract

  66. Henrik Winkler,  Extremal sectorial operators and relations   abstract

  67. Ian Wood,  On the spectrum of waveguides in planar photonic bandgap structures   abstract

  68. Christian Wyss,  Hamiltonians and Riccati equations for unbounded control and observation operators   abstract

  69. Peter Yuditskii,  Extremal L¹ problem for entire functions and spectral theory for canonical systems   abstract

  70. Petr Zemanek,  Friedrichs extension for operators associated with symplectic systems (and their special cases)   abstract

List of posters

  1. Nataliia Goloshchapova,  On the Krein and Friedrichs extensions of a positive Jacobi operator   abstract

  2. Bilel Krichen,  Gamma-hypercyclic set of a bounded linear operator

  3. Dmytro Puyda,  Inverse spectral problems for Dirac operators with summable matrix-valued potentials

  4. Jonathan Rohleder,  Titchmarsh-Weyl theory for Schrödinger operators on exterior domains

  5. Natalia Romero,  Integral inequalities for vector-valued convolution products

  6. Kateryna Stiepanova,  Extinction of solutions of semilinear parabolic equations with degenerate absorption potential   abstract