Journal of Spectral Theory

Article	Citations
Discrete approximations to Dirac operators and norm resolvent convergence	15
Lower bound of Schrödinger operators on Riemannian manifolds	11
Integral representations of isotropic semiclassical functions and applications	10
Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling	9
The fate of Landau levels under $\delta$-interactions	8
A growth estimate for the monodromy matrix of a canonical system	8
Spectral fluctuations for the multi-dimensional Anderson model	8
Uniform resolvent estimates for the discrete Schrödinger operator in dimension three	7
A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators	7
Ballistic transport for limit-periodic Schrödinger operators in one dimension	7
On the closure of the Airault–Mckean–Moser locus for elliptic KdV potentials via Darboux transformations	6
On periodic and antiperiodic spectra of non-self-adjoint Dirac operators	6
Lowest energy band function for magnetic steps	5
Failure of $L^p$ symmetry of zonal spherical harmonics	5
Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer	5
Spectral convergence of high-dimensional spheres to Gaussian spaces	5
Inertia of Kraus matrices	5
The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript	4
Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators	4
Quantitative magnetic isoperimetric inequality	4
Existence of metrics maximizing the first eigenvalue on non-orientable surfaces	4
Three-term asymptotic formula for large eigenvalues of the two-photon quantum Rabi model	4
Improved sharp spectral inequalities for Schrödinger operators on the semi-axis	4
The Hartree functional in a double well	4
Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms	4

Dimitri Rauelevich Yafaev (1948–2024)	4
Eigenvalues of the Kohn Laplacian and deformations of pseudohermitian structures on CR manifolds	3
Periodic Jacobi operators with complex coefficients	3
Eigenvalues of singular measures and Connes’ noncommutative integration	3
Semiclassical Gevrey operators and magnetic translations	3
$2$-nodal domain theorems for higher-dimensional circle bundles	3
Spectral shift for relative Schatten class perturbations	3
Quantum evolution and sub-Laplacian operators on groups of Heisenberg type	3
A semiclassical Birkhoff normal form for symplectic magnetic wells	3
Pauli Hamiltonians with an Aharonov–Bohm flux	3
A proof of the triangular Ashbaugh–Benguria–Payne–Pólya–Weinberger inequality	3
Weak Hölder continuity of Lyapunov exponent for Gevrey quasi-periodic Schrödinger cocycles	3
Sobolev improvements on sharp Rellich inequalities	3
Inequalities between Neumann and Dirichlet eigenvalues of Schrödinger operators	3
Recovery of a time-dependent potential in hyperbolic equations on conformally transversally anisotropic manifolds	3
Weyl asymptotics for Poincaré–Steklov eigenvalues in a domain with Lipschitz boundary	3
The $L^p$ boundedness of the wave operators for matrix Schrödinger equations	2
Eigenfunction asymptotics and spectral rigidity of the ellipse	2
Efficiency and localisation for the first Dirichlet eigenfunction	2
Spectral summability for the quartic oscillator with applications to the Engel group	2
The $L^{p}$-boundedness of wave operators for fourth order Schrödinger operators on $\R^{4}$	2
Inertia of Kwong matrices	2
Spectral theory of the thermal Hamiltonian: 1D case	2
The Friedrichs extension of a class of discrete symplectic systems	2
Tunneling effect in two dimensions with vanishing magnetic fields	2
Manifolds whose Weyl spectral asymptotics have small but not tiny remainders	2
Quantitative propagation of smallness and spectral estimates for the Schrödinger operator	2
Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs	2
Spectral characteristics of Schrödinger operators generated by product systems	2
Gelfand’s inverse problem for the graph Laplacian	2
Anderson localization for a generalized Maryland model with potentials given by skew shifts	2
Lipschitz continuity of spectra of pseudodifferential operators in a weighted Sjöstrand class and Gabor frame bounds	2
A quantitative formula for the imaginary part of a Weyl coefficient	2
Universal behavior of the BCS energy gap	2
Sharp spectral stability for a class of singularly perturbed pseudo-differential operators	2
Hardy inequalities for large fermionic systems	2
Generalised norm resolvent convergence: comparison of different concepts	2
Upper eigenvalue bounds for the Kirchhoff Laplacian on embedded metric graphs	2
Absence of bound states for quantum walks and CMV matrices via reflections	2
Disjointness-preserving operators and isospectral Laplacians	1
On the spectral properties of the Hilbert transform operator on multi-intervals	1
Magnetic Dirac operator in strips submitted to strong magnetic fields	1
Complete asymptotic expansions of the spectral function for symbolic perturbations of almost periodic Schrödinger operators in dimension one	1
Bound states in bent soft waveguides	1
The wave trace and Birkhoff billiards	1
Erratum to “Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains”	1
Eigenvalues for a class of non-Hermitian tetradiagonal Toeplitz matrices	1
Spectral shift via “lateral” perturbation	1
Scattering theory with both regular and singular perturbations	1
Limit theorems on the mesoscopic scale for the Anderson model	1

Sharp Hardy’s inequalities in Hilbert spaces	1
Boundary superconductivity in the BCS Model	1
The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates	1
The density of states and local eigenvalue statistics for random band matrices of fixed width	1
Quantum ergodicity for pseudo-Laplacians	1
Invariant subspaces of elliptic systems II: Spectral theory	1
Concentration and non-concentration of eigenfunctions of second-order elliptic operators in layered media	1
A theorem on the multiplicity of the singular spectrum of a general Anderson-type Hamiltonian	1
Trace class properties of the non homogeneous linear Vlasov–Poisson equation in dimension 1+1	1
Lieb–Thirring inequalities for an effective Hamiltonian of bilayer graphene	1
Dirac points for twisted bilayer graphene with in-plane magnetic field	1
Spectral estimates for the Dirichlet Laplacian on spiral-shaped regions	1
Ergodic Schrödinger operators in the infinite measure setting	1
A uniqueness result for the Calderón problem for $U(N)$-connections coupled to spinors	1
Spectral instabilities: variations on a theme loved by Brian Davies	1
A sharp isoperimetric inequality for the second eigenvalue of the Robin plate	1
Hadamard-type variation formulas for the eigenvalues of the $\eta$-Laplacian and applications	1
Isoperimetric inequalities for inner parallel curves	1
Editors’ introduction	0
On spectral inclusion sets and computing the spectra and pseudospectra of bounded linear operators	0
Jordan chains of elliptic partial differential operators and Dirichlet-to-Neumann maps	0
Uniform decay of unimodal states and non-local Minami estimates for a class of Fermionic Anderson models with deterministic potentials	0
Scaling inequalities for spherical and hyperbolic eigenvalues	0
Coexistence of absolutely continuous and pure point spectrum for kicked quasiperiodic potentials	0
On spatial conditioning of the spectrum of discrete Random Schrödinger operators	0
Szegő’s theorem for canonical systems: the Arov gauge and a sum rule	0
Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs	0
Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones	0
Isospectrum of non-self-adjoint almost-periodic Schrödinger operators	0
Universal inequalities for Dirichlet eigenvalues on discrete groups	0
Fractional Calderón problems and Poincaré inequalities on unbounded domains	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
On inverse problems arising in fractional elasticity	0
Trace class properties of resolvents of Callias operators	0
Morse theory for discrete magnetic operators and nodal count distribution for graphs	0
Critical points of discrete periodic operators	0
Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum	0
Real diffusion with complex spectral gap	0
The anisotropic Calderón problem on 3-dimensional conformally Stäckel manifolds	0
Exponential moments for disk counting statistics at the hard edge of random normal matrices	0
Deformation of the spectrum for Darboux–Treibich–Verdier potential along $\operatorname{Re}\tau=\frac{1}{2}$	0
Spectral theory of Jacobi operators with increasing coefficients. The critical case	0
Partial retraction of “Two-term, asymptotically sharp estimates for eigenvalue means of the Laplacian”	0
Maximal estimates for the Fokker–Planck operator with magnetic field	0
Phase transition in the integrated density of states of the Anderson model arising from a supersymmetric sigma model	0
Corrigendum to “Pauli Hamiltonians with an Aharonov–Bohm flux”	0
Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac–Coulomb operators	0
A Faber–Krahn inequality for the Riesz potential operator for triangles and quadrilaterals	0
Spectral analysis of 2D outlier layout	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
Semiclassical estimates for measure potentials on the real line	0
A Szegő type theorem and distribution of symplectic eigenvalues	0
Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates	0
On the spectrum of critical almost Mathieu operators in the rational case	0
Spectral properties of Schrödinger operators with locally $H^{-1}$ potentials	0
$L^p$-bounds for semigroups generated by non-elliptic quadratic differential operators	0
Spectrum of the semi-relativistic Pauli–Fierz model II	0
Invertibility issues for a class of Wiener–Hopf plus Hankel operators	0
Persistence and disappearance of negative eigenvalues in dimension two	0
Coverings preserving the bottom of the spectrum	0
Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients	0
Anderson localization for Schrödinger operators with monotone potentials over circle homeomorphisms	0
Eigenfunctions growth of R-limits on graphs	0
Self-adjointness of two-dimensional Dirac operators on corner domains	0
Mathematical results on the chiral models of twisted bilayer graphene (with an appendix by Mengxuan Yang and Zhongkai Tao)	0
Bounds on orthogonal polynomials and separation of their zeros	0
Johnson–Schwartzman gap labelling for ergodic Jacobi matrices	0
What is ballistic transport?	0
Lieb–Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line	0
On the Benjamin–Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions	0
Higher order $\mathcal{S}^{p}$-differentiability: The unitary case	0
Regularity of the scattering matrix for nonlinear Helmholtz eigenfunctions	0
On the Landis conjecture for the fractional Schrödinger equation	0
Resolvent bounds for Lipschitz potentials in dimension two and higher with singularities at the origin	0
Type problem, the first eigenvalue and Hardy inequalities	0
Resonance expansion for quantum walks and its applications to the long-time behavior	0
Transfer matrix analysis of non-Hermitian Hamiltonians: asymptotic spectra and topological eigenvalues	0
The harmonic $H^{\infty}$-functional calculus based on the $S$-spectrum	0

Nodal domain theorems for $p$-Laplacians on signed graphs	0
Critical points of the Eisenstein series $E_{4}$ and application to the spectrum of the Lamé operator	0
Suprema of Lévy processes with completely monotone jumps: Spectral-theoretic approach	0
Remarks on discrete Dirac operators and their continuum limits	0
Asymptotics of Robin eigenvalues on sharp infinite cones	0
Propagation of well-prepared states along Martinet singular geodesics	0
Analytic Besov functional calculus for several commuting operators	0
Eigenvalue estimates for the one-particle density matrix	0
Edge states for second order elliptic operators in a channel	0
Inequalities à la Pólya for the Aharonov–Bohm eigenvalues of the disk	0
On topological bound states and secular equations for quantum-graph eigenvalues	0
Zero measure spectrum for multi-frequency Schrödinger operators	0
Counting eigenvalues of Schrödinger operators using the landscape function	0
The spectrum of self-adjoint extensions associated with exceptional Laguerre differential expressions	0
On the dynamics of quasi-periodic Schrödinger cocycles for positive measure sets of frequencies	0
Weyl laws for open quantum maps	0
Spectral structure of the Neumann–Poincaré operator on axially symmetric functions	0
Range characterizations and Singular Value Decomposition of the geodesic X-ray transform on disks of constant curvature	0
Fine dimensional properties of spectral measures	0
Poisson transforms for trees of bounded degree	0
A comparison between Neumann and Steklov eigenvalues	0
An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions	0
Different completions of $A + CX$	0
Propagation of polyhomogeneity, diffraction, and scattering on product cones	0
Spectral analysis of an open $q$-difference Toda chain with two-sided boundary interactions on the finite integer lattice	0
The pseudospectrum of an operator with Bessel-type singularities	0
Spectral minimal partitions of unbounded metric graphs	0
Scattering theory for $C^{2}$ long-range potentials	0
Dirichlet fractional Laplacian in multi-tubes	0
Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets	0
Recovery of time-dependent coefficients from boundary data for hyperbolic equations	0
Counterexamples and weak (1,1) estimates of wave operators for fourth-order Schrödinger operators in dimension three	0
Analysis on the derivative of the discriminant polynomial for the critical almost Mathieu operator	0
Berezin–Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian	0
Levinson’s theorem for two-dimensional scattering systems: It was a surprise, it is now topological!	0
On the spectrum of the periodic focusing Zakharov–Shabat operator	0
Magnetic Lieb–Thirring inequalities on the torus	0
On Lieb–Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators	0
The Schwartzman group of an affine transformation	0
Mikhail Shubin (1944–2020)	0
Subordinacy theory on star-like graphs	0