Journal of Spectral Theory

Article	Citations
Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling	18
Lower bound of Schrödinger operators on Riemannian manifolds	15
Integral representations of isotropic semiclassical functions and applications	11
A growth estimate for the monodromy matrix of a canonical system	9
Spectral fluctuations for the multi-dimensional Anderson model	9
The fate of Landau levels under $\delta$-interactions	9
Discrete approximations to Dirac operators and norm resolvent convergence	8
A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators	8
Uniform resolvent estimates for the discrete Schrödinger operator in dimension three	7
Eigenvalue bounds for perturbed periodic Dirac operators	7
Ballistic transport for limit-periodic Schrödinger operators in one dimension	7
Inertia of Kraus matrices	6
On periodic and antiperiodic spectra of non-self-adjoint Dirac operators	6
Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer	6
Lowest energy band function for magnetic steps	5
Spectral convergence of high-dimensional spheres to Gaussian spaces	5
Existence of metrics maximizing the first eigenvalue on non-orientable surfaces	5
Failure of $L^p$ symmetry of zonal spherical harmonics	5
The Hartree functional in a double well	5
On the closure of the Airault–Mckean–Moser locus for elliptic KdV potentials via Darboux transformations	5
The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript	5
Dimitri Rauelevich Yafaev (1948–2024)	5
Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators	4
Weak Hölder continuity of Lyapunov exponent for Gevrey quasi-periodic Schrödinger cocycles	4
Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms	4

Spectral shift for relative Schatten class perturbations	4
Quantum evolution and sub-Laplacian operators on groups of Heisenberg type	4
Quantitative magnetic isoperimetric inequality	4
Three-term asymptotic formula for large eigenvalues of the two-photon quantum Rabi model	4
Spectral estimates of dynamically-defined and amenable operator families	4
Improved sharp spectral inequalities for Schrödinger operators on the semi-axis	4
A semiclassical Birkhoff normal form for symplectic magnetic wells	3
Recovery of a time-dependent potential in hyperbolic equations on conformally transversally anisotropic manifolds	3
$2$-nodal domain theorems for higher-dimensional circle bundles	3
Weyl asymptotics for Poincaré–Steklov eigenvalues in a domain with Lipschitz boundary	3
Eigenvalues of the Kohn Laplacian and deformations of pseudohermitian structures on CR manifolds	3
Pauli Hamiltonians with an Aharonov–Bohm flux	3
Semiclassical Gevrey operators and magnetic translations	3
Sobolev improvements on sharp Rellich inequalities	3
Eigenvalues of singular measures and Connes’ noncommutative integration	3
A proof of the triangular Ashbaugh–Benguria–Payne–Pólya–Weinberger inequality	3
Absence of bound states for quantum walks and CMV matrices via reflections	2
Spectral summability for the quartic oscillator with applications to the Engel group	2
Eigenfunction asymptotics and spectral rigidity of the ellipse	2
On the ground state of lattice Schrödinger operators	2
Sharp spectral stability for a class of singularly perturbed pseudo-differential operators	2
Tunneling effect in two dimensions with vanishing magnetic fields	2
Hardy inequalities for large fermionic systems	2
Upper eigenvalue bounds for the Kirchhoff Laplacian on embedded metric graphs	2
Lipschitz continuity of spectra of pseudodifferential operators in a weighted Sjöstrand class and Gabor frame bounds	2
Quantitative propagation of smallness and spectral estimates for the Schrödinger operator	2
Manifolds whose Weyl spectral asymptotics have small but not tiny remainders	2
The $L^p$ boundedness of the wave operators for matrix Schrödinger equations	2
Inertia of Kwong matrices	2
Spectral characteristics of Schrödinger operators generated by product systems	2
Gelfand’s inverse problem for the graph Laplacian	2
Spectral theory of the thermal Hamiltonian: 1D case	2
On the number of bound states for fractional Schrödinger operators with critical and super-critical exponent	2
Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs	2
Universal behavior of the BCS energy gap	2
A quantitative formula for the imaginary part of a Weyl coefficient	2
The $L^{p}$-boundedness of wave operators for fourth order Schrödinger operators on $\R^{4}$	2
The Friedrichs extension of a class of discrete symplectic systems	2
Concentration and non-concentration of eigenfunctions of second-order elliptic operators in layered media	1
Hadamard-type variation formulas for the eigenvalues of the $\eta$-Laplacian and applications	1
Spectral estimates for the Dirichlet Laplacian on spiral-shaped regions	1
Limit theorems on the mesoscopic scale for the Anderson model	1
Dirac points for twisted bilayer graphene with in-plane magnetic field	1
The spectrum of the Poincaré operator in an ellipsoid	1
Bound states in bent soft waveguides	1
Invariant subspaces of elliptic systems II: Spectral theory	1
The wave trace and Birkhoff billiards	1
A theorem on the multiplicity of the singular spectrum of a general Anderson-type Hamiltonian	1
Spectral shift via “lateral” perturbation	1
Eigenvalues for a class of non-Hermitian tetradiagonal Toeplitz matrices	1

Magnetic Dirac operator in strips submitted to strong magnetic fields	1
On spatial conditioning of the spectrum of discrete Random Schrödinger operators	1
Boundary superconductivity in the BCS Model	1
On the spectral properties of the Hilbert transform operator on multi-intervals	1
Spectral instabilities: variations on a theme loved by Brian Davies	1
Quantum ergodicity for pseudo-Laplacians	1
A sharp isoperimetric inequality for the second eigenvalue of the Robin plate	1
The density of states and local eigenvalue statistics for random band matrices of fixed width	1
A uniqueness result for the Calderón problem for $U(N)$-connections coupled to spinors	1
Sharp Hardy’s inequalities in Hilbert spaces	1
Several isoperimetric inequalities of Dirichlet and Neumann eigenvalues of the Witten Laplacian	1
Disjointness-preserving operators and isospectral Laplacians	1
Scattering theory with both regular and singular perturbations	1
Complete asymptotic expansions of the spectral function for symbolic perturbations of almost periodic Schrödinger operators in dimension one	1
Anderson localization for a generalized Maryland model with potentials given by skew shifts	1
Erratum to “Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains”	1
Generalised norm resolvent convergence: comparison of different concepts	1
Morse theory for discrete magnetic operators and nodal count distribution for graphs	0
Spectral decomposition and Siegel–Veech transforms for strata: the case of marked tori	0
Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum	0
Johnson–Schwartzman gap labelling for ergodic Jacobi matrices	0
The anisotropic Calderón problem on 3-dimensional conformally Stäckel manifolds	0
On Lieb–Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators	0
The spectrum of self-adjoint extensions associated with exceptional Laguerre differential expressions	0
Regularity of the scattering matrix for nonlinear Helmholtz eigenfunctions	0
Coverings preserving the bottom of the spectrum	0
On the Landis conjecture for the fractional Schrödinger equation	0
Corrigendum to “Pauli Hamiltonians with an Aharonov–Bohm flux”	0
The pseudospectrum of an operator with Bessel-type singularities	0
The harmonic $H^{\infty}$-functional calculus based on the $S$-spectrum	0
Transfer matrix analysis of non-Hermitian Hamiltonians: asymptotic spectra and topological eigenvalues	0
On the spectrum of critical almost Mathieu operators in the rational case	0
$L^p$-bounds for semigroups generated by non-elliptic quadratic differential operators	0
Spectral invariants of Dirichlet-to-Neumann operators on surfaces	0
On the spectrum of the Sturm–Liouville problem with arithmetically self-similar weight	0
Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones	0
Deformation of the spectrum for Darboux–Treibich–Verdier potential along $\operatorname{Re}\tau=\frac{1}{2}$	0
Phase transition in the integrated density of states of the Anderson model arising from a supersymmetric sigma model	0
Mikhail Shubin (1944–2020)	0
Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients	0
Isoperimetric inequalities for inner parallel curves	0
On spectral inclusion sets and computing the spectra and pseudospectra of bounded linear operators	0
Weyl laws for open quantum maps	0
Persistence and disappearance of negative eigenvalues in dimension two	0
Mathematical results on the chiral models of twisted bilayer graphene (with an appendix by Mengxuan Yang and Zhongkai Tao)	0
Berezin–Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian	0
Eigenfunctions growth of R-limits on graphs	0
Asymptotics for the spectral function on Zoll manifolds	0
Poisson transforms for trees of bounded degree	0
Scaling inequalities for spherical and hyperbolic eigenvalues	0
On the dynamics of quasi-periodic Schrödinger cocycles for positive measure sets of frequencies	0
Bounds on orthogonal polynomials and separation of their zeros	0
Real diffusion with complex spectral gap	0
Lieb–Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line	0
Levinson’s theorem for two-dimensional scattering systems: It was a surprise, it is now topological!	0
On inverse problems arising in fractional elasticity	0
Higher order $\mathcal{S}^{p}$-differentiability: The unitary case	0
Eigenvalue estimates for the one-particle density matrix	0
Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs	0
Subordinacy theory on star-like graphs	0
Trace class properties of resolvents of Callias operators	0
Propagation of polyhomogeneity, diffraction, and scattering on product cones	0
Exponential moments for disk counting statistics at the hard edge of random normal matrices	0
What is ballistic transport?	0
Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac–Coulomb operators	0
Critical points of the Eisenstein series $E_{4}$ and application to the spectrum of the Lamé operator	0
Propagation of well-prepared states along Martinet singular geodesics	0
On the Benjamin–Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions	0
Remarks on discrete Dirac operators and their continuum limits	0
Resolvent bounds for Lipschitz potentials in dimension two and higher with singularities at the origin	0
On topological bound states and secular equations for quantum-graph eigenvalues	0
Type problem, the first eigenvalue and Hardy inequalities	0
Spectral theory of Jacobi operators with increasing coefficients. The critical case	0
An inverse problem for the fractionally damped wave equation	0
A Szegő type theorem and distribution of symplectic eigenvalues	0
Dirichlet fractional Laplacian in multi-tubes	0
Fine dimensional properties of spectral measures	0
Anderson localization for Schrödinger operators with monotone potentials over circle homeomorphisms	0
Asymptotics of Robin eigenvalues on sharp infinite cones	0
Spectral asymptotics and metastability for the linear relaxation Boltzmann equation	0

Stability of Schur’s iterates and fast solution of the discrete integrable NLS	0
Spectral structure of the Neumann–Poincaré operator on axially symmetric functions	0
A Faber–Krahn inequality for the Riesz potential operator for triangles and quadrilaterals	0
Resonance expansion for quantum walks and its applications to the long-time behavior	0
The $H^{\infty}$-functional calculus for bisectorial Clifford operators	0
Spectral minimal partitions of unbounded metric graphs	0
Spectral analysis of an open $q$-difference Toda chain with two-sided boundary interactions on the finite integer lattice	0
Scattering theory for $C^{2}$ long-range potentials	0
Universal inequalities for Dirichlet eigenvalues on discrete groups	0
Analytic Besov functional calculus for several commuting operators	0
Recovery of time-dependent coefficients from boundary data for hyperbolic equations	0
Strichartz estimates for the Schrödinger equation on compact manifolds with nonpositive sectional curvature	0
Critical points of discrete periodic operators	0
Suprema of Lévy processes with completely monotone jumps: Spectral-theoretic approach	0
An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions	0
On the spectrum of the periodic focusing Zakharov–Shabat operator	0
The distribution of negative eigenvalues of Schrödinger operators on asymptotically hyperbolic manifolds	0
Edge states for second order elliptic operators in a channel	0
Fractional Calderón problems and Poincaré inequalities on unbounded domains	0
Nodal domain theorems for $p$-Laplacians on signed graphs	0
Semiclassical estimates for measure potentials on the real line	0
Magnetic Lieb–Thirring inequalities on the torus	0
Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets	0
The Schwartzman group of an affine transformation	0
Erratum to “Critical points of discrete periodic operators”	0
Spectrum of the semi-relativistic Pauli–Fierz model II	0
Analysis on the derivative of the discriminant polynomial for the critical almost Mathieu operator	0
Editors’ introduction	0
Inequalities à la Pólya for the Aharonov–Bohm eigenvalues of the disk	0
Zero measure spectrum for multi-frequency Schrödinger operators	0
Spectral properties of Schrödinger operators with locally $H^{-1}$ potentials	0
Counterexamples and weak (1,1) estimates of wave operators for fourth-order Schrödinger operators in dimension three	0
Isospectrum of non-self-adjoint almost-periodic Schrödinger operators	0
Uniform decay of unimodal states and non-local Minami estimates for a class of Fermionic Anderson models with deterministic potentials	0
The wave kernel on asymptotically complex hyperbolic manifolds	0
Sharp semiclassical spectral asymptotics for Schrödinger operators with non-smooth potentials	0
A comparison between Neumann and Steklov eigenvalues	0
Counting eigenvalues of Schrödinger operators using the landscape function	0