## ESF Scientific Program## Spectral Theory and Partial Differential Equations (SPECT) |

**Preprints 2004-2005**

W.O. Amrein and D.B. Pearson | M operators: a generalisation of Weyl-Titchmarsh theory [pdf] |

Andrei Badanin and Evgeny Korotyaev | Spectral asymptotics for periodic fourth order operators [pdf] |

M. Ben-Artzi, Y. Dermenjian, and J.-C.Guillot |
Analyticity properties and estimates of resolvent kernels near thresholds [pdf] |

Matania Ben-Artzi, Yves Dermenjian, and Anton Monsef |
Resolvent kernel estimate near thresholds [pdf] |

M.Sh. Birman and T.A. Suslina | Threshold approximations with the corrector term for the resolvent of a factorized selfadjoint operator family [pdf] |

Maxim Braverman and Thomas Kappeler | Refined analytic torsion as an element of the determinant line [pdf] |

Roch Cassanas | Reduced Gutzwiller formula with symmetry: case of a Lie group [pdf] |

Roch Cassanas | Reduced Gutzwiller formula with symmetry: case of a finite group [pdf] |

Tomas Ekholm and Rupert L. Frank | On Lieb-Thirring inequalities for Schrödinger operators with virtual level [pdf] |

Pavel Exner and Rupert L. Frank | Absolute continuity of the spectrum for periodically modulated leaky wires in R^3 [pdf] |

P. Exner and H.Kovarik | Spectrum of the Schrödinger operator in a perturbed periodically twisted tube [pdf] |

Pavel Exner, Helmut Linde and Timo Weidl |
Lieb-Thirring inequalities for geometricall induced bound states [pdf] |

S. Fournais and B. Helffer | On the third critical field in Ginzburg-Landau theory [pdf] |

Rupert L. Frank | On the tunneling effect for magnetic Schrödinger operators in antidot lattices [ps] |

Rupert L. Frank | On the Laplacian in the halfspace with a periodic boundary condition [ps] |

R.L. Frank and O. Safronov | Absolutely continuous spectrum of a class of random non-ergodic Schrödinger operators [pdf] |

Rupert L. Frank and Roman G. Shterenberg | On the spectrum of partially periodic operators [ps] |

Anders Hansson | On the spectrum and eigenfunctions of the Schrödinger operator with Aharonov-Bohm marnetic field [pdf] |

B. Helffer | Initiation to Witten Laplacians Methods in Statistical Mechanics [pdf] |

B. Helffer | Introduction to semi-classical methods for the Schrödinger operator with magnetic field [pdf] |

B. Helffer | Low lying eigenvalues of Witten Laplacians and metastability [pdf] |

B. Helffer and Th. Hoffmann-Ostenhof | Converse spectral problems for nodal domains [pdf] |

E. Langmann, A. Laptev and C. Paufler | Singular factorizations, self-adjoint extensions and applications to quantum many-body physics. [pdf] |

A. Laptev | Spectral inequalities and their applications, Lecture Notes, Warwick, April 2005 [pdf] |

A. Laptev, R. Shterenberg, V. Sukhanov and J.Östensson |
Reflectionless potentials for an ordinary differential operator of order four [pdf] |

Ricardo Weder and Dimitri Yafaev | On inverse scattering at a fixed energy for potentials with a regular behaviour at infinity [pdf] |

Latest update: 2005-09-01

Created by:Marie Lundin