Tau-functions on spaces of Abelian differentials and higher genus generalizations of Ray-Singer formula

Ternary algebras with braided statistics

The "Action" Variable is not an Invariant for the Uniqueness in the Inverse Scattering Problem

The a priori Tan Theta Theorem for spectral subspaces

The a priori tanθtheorem for eigenvectors

The absolutely continuous spectrum of Jacobi matrices

The absolutely continuous spectrum of one-dimensional Schr"odinger operators

The abstract Titchmarsh-Weyl M-function for adjoint operator pairs and its relation to the spectrum

The approximation numbers of Hardy--type operators on trees

The asymptotic limits of zero modes of massless Dirac operators

The asymptotic properties of the spectrum of non symmetrically perturbed Jacobi matrix sequences

The asymptotics of the Ray-Singer analytic torsion for compact hyperbolic manifolds

The asymptotics of the Ray-Singer analytic torsion of hyperbolic 3-manifolds

The Berezin and Garding Inequalities

The Birman-Schwinger principle in von Neumann algebras of finite type

The Birman-Schwinger principle on the essential spectrum

The Case of Critical Coupling in a Class of Unbounded Jacobi Matrices Exhibiting a First-Order Phase Transition

The characteristic function for Jacobi matrices with applications

The characterization problem for one class high order ordinary differential operators with periodic coefficients

The characterization problem for one class of second order operator pencil with complex periodic coefficients