A Berezin-Li-Yau type inequality for the fractional Laplacian on a bounded domain

A Blaschke-type condition for analytic functions on finitely connected domains. Applications to complex perturbations of a finite-band selfadjoint operator

A Borg-Type Theorem Associated with Orthogonal Polynomials on the Unit Circle

A bound below for the convex hull of the spectrum of a matrix

A characterization of planar mixed automorphic forms

A Cheeger Inequality for the Graph Connection Laplacian

A Class of Matrix-Valued Schrödinger Operators with Prescribed Finite-Band Spectra

A class of pseudo-differential operators with oscillating symbols

A commutator method for the diagonalization of Hankel operators

A constructive version of the Boyle-Handelman theorem on the spectra of nonnegative matrices

A Criterion for Hill Operators to be Spectral Operators of Scalar Type

A Dirichlet-to-Neumann approach for the exact computation of guided modes in photonic crystal waveguides

A family of Schrödinger operators whose spectrum is an interval

A Formula representing magnetic Berezin transforms on the Bergman ball of $\C^n$ as functions of the Laplace-Beltrami operator

A Fulling-Kuchment theorem for the 1D harmonic oscillator

A functional model, eigenvalues, and finite singular critical points for indefinite Sturm-Liouville operators

A gap in the continuous spectrum of a cylindrical waveguide with a periodic perturbation of the surface

A gap in the spectrum of the Neumann-Laplacian on a periodic waveguide

A general realization theorem for matrix-valued Herglotz-Nevanlinna functions

A Generalization of a Levitin and Parnovski Universal Inequality for Eigenvalues