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Survey of the inverse spectral problem

Mathematics – Spectral Theory
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Survival probability (heat content) and the lowest eigenvalue of Dirichlet Laplacian

Mathematics – Spectral Theory
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Symmetrized Perturbation Determinants and Applications to Boundary Data Maps and Krein-Type Resolvent Formulas

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Symplectic inverse spectral theory for pseudodifferential operators

Mathematics – Spectral Theory
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Szego asymptotics for matrix-valued measures with countably many bound states

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Szego limit theorems on the Sierpinski gasket

Mathematics – Spectral Theory
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Szegö type results relative to a sequence of model spaces

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

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Ternary algebras with braided statistics

Mathematics – Spectral Theory
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The "Action" Variable is not an Invariant for the Uniqueness in the Inverse Scattering Problem

Mathematics – Spectral Theory
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The a priori Tan Theta Theorem for spectral subspaces

Mathematics – Spectral Theory
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The a priori tanθtheorem for eigenvectors

Mathematics – Spectral Theory
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The absolutely continuous spectrum of Jacobi matrices

Mathematics – Spectral Theory
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The absolutely continuous spectrum of one-dimensional Schr"odinger operators

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

Mathematics – Spectral Theory
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The approximation numbers of Hardy--type operators on trees

Mathematics – Spectral Theory
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The asymptotic limits of zero modes of massless Dirac operators

Mathematics – Spectral Theory
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The asymptotic properties of the spectrum of non symmetrically perturbed Jacobi matrix sequences

Mathematics – Spectral Theory
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The asymptotics of the Ray-Singer analytic torsion for compact hyperbolic manifolds

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

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