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Journal of the London Mathematical Society, ISSN 0024-6107, 12/2013, Volume 88, Issue 3, pp. 801 - 828
We discuss inverse spectral theory for singular differential operators on arbitrary intervals (a, b) ⊆ ℝ... 
MATHEMATICS | SINGULAR POTENTIALS | EIGENVALUE PROBLEMS | SPACES | RECONSTRUCTION | IMPEDANCE | DIMENSIONAL SCHRODINGER-OPERATORS | EQUATION | SCATTERING | Intervals | Operators | Spectral theory | DX | Mathematical analysis | Inverse | Schroedinger equation | Spectra
Journal Article
Geophysical Journal International, ISSN 0956-540X, 09/2014, Volume 199, Issue 3, pp. 1303 - 1327
The radially anisotropic shear velocity structure of the Earth's mantle provides a critical window on the interior dynamics of the planet, with isotropic... 
Surface waves and free oscillations | Body waves | Inverse theory | Seismic anisotropy | Computational seismology | Seismic tomography | CRUSTAL CORRECTIONS | DISPERSION | RESOLUTION | INVERSION | CLUSTER-ANALYSIS | HETEROGENEITY | GEOCHEMISTRY & GEOPHYSICS | MODELS | EARTH STRUCTURE | ADJOINT METHODS | PROPAGATION
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2015, Volume 427, Issue 2, pp. 1168 - 1189
.... Choosing gap lengths and gap midpoints as coordinates, we define a spectral map G, that assigns to a coefficient s the structure of the spectrum of Ls... 
Partial differential equations | Inverse Sturm–Liouville theory | Inverse Sturm-Liouville theory | MATHEMATICS | MATHEMATICS, APPLIED | EIGENVALUE PROBLEMS | ASYMPTOTICS | Inverse Sturm-Lionville theory | DIRICHLET | OPERATORS | BANDS
Journal Article
Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 03/2018, Volume 2018, Issue 736, pp. 285 - 315
...–Titchmarsh and spectral functions of first order canonical systems. Our results improve several classical results and solve open problems posed by previous authors... 
STRINGS | MATHEMATICS | SINGULAR POTENTIALS | STURM-LIOUVILLE OPERATORS | COEFFICIENT | INEQUALITY | EQUATIONS | SIMILARITY PROBLEM | DIRAC OPERATORS | INVERSE | SCHRODINGER-OPERATORS
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 06/2018, Volume 66, Issue 12, pp. 3268 - 3279
Journal Article
Geophysical Journal International, ISSN 0956-540X, 05/2011, Volume 185, Issue 2, pp. 799 - 831
Journal Article
Advances in Physics, ISSN 0001-8732, 07/2006, Volume 55, Issue 5-6, pp. 527 - 625
.... In the first part of this review we give a detailed introduction to the spectral theory of quantum graphs and discuss exact trace formulae for the spectrum and the quantum-to-classical correspondence... 
FORM-FACTOR | CLASSICAL TRAJECTORIES | PHYSICS, CONDENSED MATTER | EIGENVALUE PROBLEMS | RANDOM-MATRIX THEORY | FIELD-THEORY | INVERSE SCATTERING PROBLEM | ENERGY-LEVELS | PERIODIC SCHRODINGER-OPERATORS | SMILANSKYS MODEL | QCD DIRAC OPERATOR | Physics - Chaotic Dynamics
Journal Article