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The Miura Map on the Line

Mathematics – Spectral Theory
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The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs

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The Nevai Condition

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The one-dimensional Schrödinger operators with singular periodic potentials

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The parametrization of the Marchenko-Ostrovsky mapping in terms of the Dirichlet eigenvalues

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The periodic magnetic Schrödinger operators: spectral gaps and tunneling effect

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The Pseudospectral Properties of non-self-adjoint Schrödinger Operators in the semi-classical limit

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The reduced wave equation in layered materials

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The regularized trace formula for the Sturm-Liouville equation with spectral parameter in the boundary conditions

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The relation between the counting function N(lambda) and the heat kernel K(t)

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The Riemann problem with additional singularities

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The role of the helicity spectrum function in turbulent dynamo theory

Mathematics – Spectral Theory
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The scattering matrix and associated formulas in Hamiltonian mechanics

Mathematics – Spectral Theory
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The Schrödinger operator with Morse potential on the right half line

Mathematics – Spectral Theory
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The Selberg trace formula for non-unitary representations of the lattice

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The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr-Sommerfeld quantization condition, revisited

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The semiclassical structure of low-energy states in the presence of a magnetic field

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The sharp form of the strong Szego theorem

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The similarity problem for $J$-nonnegative Sturm-Liouville operators

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The similarity problem for indefinite Sturm-Liouville operators with periodic coefficients

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