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Journal of mathematical physics, ISSN 1089-7658, 2014, Volume 55, Issue 8, p. 083520
.... We show that the essential spectrum coincides with the spectrum of a planar tube provided that the second fundamental form of the manifold vanishes at infinity and the transport of the cross-section... 
NONNEGATIVE RICCI CURVATURE | LAPLACIAN | BOUND-STATES | DISCRETE SPECTRUM | WAVE-GUIDES | TUBES | PHYSICS, MATHEMATICAL | COMPLETE RIEMANNIAN-MANIFOLDS | Dirichlet problem | Riemann manifold | Euclidean geometry | Euclidean space | CROSS SECTIONS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | EUCLIDEAN SPACE | NANOSTRUCTURES | MATHEMATICAL MANIFOLDS | SPECTRA
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2017, Volume 446, Issue 2, pp. 1863 - 1881
.... We give a criterion for the essential spectrum of the Laplacian on the perturbed graph to include that on the unperturbed graph... 
Perturbation theory | Infinite graph | Discrete Laplacian | Essential spectrum | Pendant | Random graph | MATHEMATICS | MATHEMATICS, APPLIED | LATTICES | SCHRODINGER-OPERATORS
Journal Article
Lobachevskii Journal of Mathematics, ISSN 1995-0802, 5/2017, Volume 38, Issue 3, pp. 530 - 541
.... We proved the essential spectra of the four-electron systems in the quintet state is a single segment, and four-electron anti-bound states or four-electron bound states is absent... 
essential spectra | Probability Theory and Stochastic Processes | Hubbard model | bound states | Mathematics | Four-electron systems | anti-bound states | Geometry | Algebra | Analysis | discrete spectrum | Mathematics, general | Mathematical Logic and Foundations
Journal Article
The Journal of Geometric Analysis, ISSN 1050-6926, 1/2015, Volume 25, Issue 1, pp. 536 - 563
Journal Article
The Journal of Geometric Analysis, ISSN 1050-6926, 10/2015, Volume 25, Issue 4, pp. 2241 - 2261
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 2007, Volume 426, Issue 2, pp. 317 - 324
When A ∈ B ( H ) and B ∈ B ( K ) are given, we denote by M C the operator acting on the infinite dimensional separable Hilbert space H ⊕ K of the form M C = A... 
Browder essential approximate point spectrum | Semi-Fredholm operator | Hypercyclic operator | MATHEMATICS | MATHEMATICS, APPLIED | WEYLS THEOREM | hypercyclic operator | semi-Fredholm operator
Journal Article
Theoretical and Mathematical Physics, ISSN 0040-5779, 1/2011, Volume 166, Issue 1, pp. 81 - 93
Journal Article
Journal of Topology and Analysis, ISSN 1793-5253, 03/2016, Volume 8, Issue 1, pp. 89 - 115
.... In this paper we use the essential circles introduced in [ 19] to define a larger class of covering maps of compact geodesic spaces called "circle covers" that are "closed" with respect to Gromov-Hausdorff convergence and include delta-covers... 
discrete homotopy | δ-cover | geodesic space | Gromov-Hausdorff convergence | MATHEMATICS | UNIVERSAL COVERS | FUNDAMENTAL-GROUPS | delta-cover | UNIFORM-SPACES | MANIFOLDS | SPECTRUM
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 11/2017, Volume 50, Issue 48, p. 485203
.... Depending on whether the operators L and L(V) are positive or not, the spectrum of H-Sm(A) and H(V) exhibits a sharp transition. 
discrete spectrum | essential spectrum | spectral transition | homogeneous magnetic field | Smilansky-Solomyak model | IRREVERSIBLE QUANTUM GRAPHS | PHYSICS, MULTIDISCIPLINARY | SPECTRUM | PHYSICS, MATHEMATICAL | DIFFERENTIAL-OPERATORS | FAMILY
Journal Article
Journal of Geometric Analysis, ISSN 1050-6926, 4/2012, Volume 22, Issue 2, pp. 603 - 620
We prove some estimates on the spectrum of the Laplacian of the total space of a Riemannian submersion in terms of the spectrum of the Laplacian of the base and the geometry of the fibers... 
Abstract Harmonic Analysis | Fourier Analysis | Essential spectrum | Convex and Discrete Geometry | 58J50 | Global Analysis and Analysis on Manifolds | Mathematics | 57A10 | Differential Geometry | Dynamical Systems and Ergodic Theory | Discrete spectrum | Riemannian submersions | MATHEMATICS | MANIFOLDS | NEGATIVE CURVATURE | Invisibility | Fibers
Journal Article
Communications in Mathematics and Statistics, ISSN 2194-6701, 12/2014, Volume 2, Issue 3, pp. 279 - 309
For discrete spectrum of 1D second-order differential/difference operators (with or without potential (killing... 
Killing | Second-order differential operator (diffusion) | Essential spectrum | 60J60 | Tridiagonal matrix (birth–death process) | 34L05 | Mathematics, general | Mathematics | 60J27 | Statistics, general | Discrete spectrum
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2007, Volume 2008, Issue 1, pp. 1 - 14
.... Moreover, we establish a fine description of the Schechter essential spectrum of a closed densely defined operators... 
Mathematics, general | Mathematics | Applications of Mathematics | Analysis | MATHEMATICS | MATHEMATICS, APPLIED | PERTURBATIONS | SPACES | OPERATORS | Banach spaces
Journal Article
SIAM journal on scientific computing, ISSN 1064-8275, 05/2012, Volume 34, Issue 3, pp. B226 - B246
Journal Article
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2018, Volume 51, Issue 26, p. 265202
We provide sufficient conditions to have at least one N-particle bound state below the essential spectrum of a large class of N-particle discrete Schrodinger operators H(K... 
cluster operators | essential spectrum | short-range pair potentials | dispersion functions | Schrödinger operator | bound states | HVZ theorem | DISCRETE SPECTRUM ASYMPTOTICS | PARTICLES | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | EIGENVALUES | SYSTEMS | Schrodinger operator | HAMILTONIANS | SCHRODINGER-OPERATORS
Journal Article
Czechoslovak Mathematical Journal, ISSN 0011-4642, 6/2011, Volume 61, Issue 2, pp. 371 - 381
Let E be a complex Banach space, with the unit ball B E . We study the spectrum of a bounded weighted composition operator u C φ on H ∞(B E... 
32A37 | essential norm | spectra | weighted composition operators | 47B33 | Mathematics | 46E15 | 47B38 | Ordinary Differential Equations | Convex and Discrete Geometry | Analysis | Mathematics, general | Mathematical Modeling and Industrial Mathematics | bounded analytic function spaces | ESSENTIAL NORMS | MATHEMATICS | Yuan (China)
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 02/2016, Volume 289, Issue 2-3, pp. 343 - 359
Journal Article
St. Petersburg Mathematical Journal, ISSN 1061-0022, 12/2012, Volume 23, Issue 6, pp. 1023 - 1045
...: two parallel strips-uprights of thickness h>0 small, a gap is always opened between the second and third segments of the essential spectrum of the problem operator... 
Periodic junction of thin domains | Dirichlet problem | Discrete spectrum | Gaps | Essential spectrum | MATHEMATICS | essential spectrum | STATES | discrete spectrum | BOUNDARY-VALUE-PROBLEMS | gaps | QUANTUM WAVE-GUIDES
Journal Article
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