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

Mathematics – Spectral Theory
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A class of pseudo-differential operators with oscillating symbols

Mathematics – Spectral Theory
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A commutator method for the diagonalization of Hankel operators

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

Mathematics – Spectral Theory
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A Criterion for Hill Operators to be Spectral Operators of Scalar Type

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

Mathematics – Spectral Theory
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A family of Schrödinger operators whose spectrum is an interval

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

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A Fulling-Kuchment theorem for the 1D harmonic oscillator

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

Mathematics – Spectral Theory
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A gap in the continuous spectrum of a cylindrical waveguide with a periodic perturbation of the surface

Mathematics – Spectral Theory
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A gap in the spectrum of the Neumann-Laplacian on a periodic waveguide

Mathematics – Spectral Theory
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A general realization theorem for matrix-valued Herglotz-Nevanlinna functions

Mathematics – Spectral Theory
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A Generalization of a Levitin and Parnovski Universal Inequality for Eigenvalues

Mathematics – Spectral Theory
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A generalization of the $tan 2Θ$ Theorem

Mathematics – Spectral Theory
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A generalized virial theorem and the balance of kinetic and potential energies in the semiclassical limit

Mathematics – Spectral Theory
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A gluing formula for the analytic torsion on singular spaces

Mathematics – Spectral Theory
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A Haar-type Approximation and a New Numerical Schema for the Korteweg-de Vries Equation

Mathematics – Spectral Theory
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A Hierarchical Method for obtaining Eigenvalue Enclusures

Mathematics – Spectral Theory
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A highly accurate method of absolute calibration of photoelectric apparatus in a wide spectral region

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