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

The Christoffel-Darboux Kernel

The Damped String Problem Revisited

The Darboux process and a noncommutative bispectral problem

The determinant of the Dirichlet-to-Neumann map for surfaces with boundary

The Dirac-Hardy and Dirac-Sobolev inequalities in $L^1$

The discrete spectrum for complex perturbations of periodic Jacobi matrices

The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions

The effective Hamiltonian in curved quantum waveguides under mild regularity assumptions

The Eigen-Problem for Some Special Near-Toeplitz Centro-Skew Tridiagonal Matrices

The eigenvalues of the Laplacian on domains with small slits

The essential spectrum of Schrodinger, Jacobi, and CMV operators

The Fundamental Gap Conjecture on Polygonal Domains

The fundamental gap of simplices