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	11
Integral representations of isotropic semiclassical functions and applications	9
The fate of Landau levels under $\delta$-interactions	9
A growth estimate for the monodromy matrix of a canonical system	9
Spectral fluctuations for the multi-dimensional Anderson model	8
A probabilistic Weyl-law for perturbed Berezin–Toeplitz operators	8
Discrete approximations to Dirac operators and norm resolvent convergence	8
Eigenvalue bounds for perturbed periodic Dirac operators	7
Uniform resolvent estimates for the discrete Schrödinger operator in dimension three	7
On periodic and antiperiodic spectra of non-self-adjoint Dirac operators	6
Ballistic transport for limit-periodic Schrödinger operators in one dimension	6
Inertia of Kraus matrices	6
The Hartree functional in a double well	5
Failure of $L^p$ symmetry of zonal spherical harmonics	5
Spectral convergence of high-dimensional spheres to Gaussian spaces	5
The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript	5
On the closure of the Airault–Mckean–Moser locus for elliptic KdV potentials via Darboux transformations	5
Existence of metrics maximizing the first eigenvalue on non-orientable surfaces	5
Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer	5
Lowest energy band function for magnetic steps	5
Quantitative magnetic isoperimetric inequality	4
Spectral shift for relative Schatten class perturbations	4
Dimitri Rauelevich Yafaev (1948–2024)	4
Improved sharp spectral inequalities for Schrödinger operators on the semi-axis	4

Weak Hölder continuity of Lyapunov exponent for Gevrey quasi-periodic Schrödinger cocycles	4
Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators	4
Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms	4
Quantum evolution and sub-Laplacian operators on groups of Heisenberg type	4
Spectral estimates of dynamically-defined and amenable operator families	4
Three-term asymptotic formula for large eigenvalues of the two-photon quantum Rabi model	4
Pauli Hamiltonians with an Aharonov–Bohm flux	3
Eigenvalues of singular measures and Connes’ noncommutative integration	3
Quasiballistic transport for discrete one-dimensional quasiperiodic Schrödinger operators	3
A proof of the triangular Ashbaugh–Benguria–Payne–Pólya–Weinberger inequality	3
Semiclassical Gevrey operators and magnetic translations	3
Weyl asymptotics for Poincaré–Steklov eigenvalues in a domain with Lipschitz boundary	3
$2$-nodal domain theorems for higher-dimensional circle bundles	3
A semiclassical Birkhoff normal form for symplectic magnetic wells	3
Eigenvalues of the Kohn Laplacian and deformations of pseudohermitian structures on CR manifolds	3
Recovery of a time-dependent potential in hyperbolic equations on conformally transversally anisotropic manifolds	3
Sobolev improvements on sharp Rellich inequalities	3
The Friedrichs extension of a class of discrete symplectic systems	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
A quantitative formula for the imaginary part of a Weyl coefficient	2
Nodal count for a random signing of a graph with disjoint cycles	2
Universal behavior of the BCS energy gap	2
Spectral summability for the quartic oscillator with applications to the Engel group	2
Inertia of Kwong matrices	2
Upper eigenvalue bounds for the Kirchhoff Laplacian on embedded metric graphs	2
The $L^p$ boundedness of the wave operators for matrix Schrödinger equations	2
Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs	2
Manifolds whose Weyl spectral asymptotics have small but not tiny remainders	2
Sharp spectral stability for a class of singularly perturbed pseudo-differential operators	2
On the number of bound states for fractional Schrödinger operators with critical and super-critical exponent	2
Tunneling effect in two dimensions with vanishing magnetic fields	2
Spectral characteristics of Schrödinger operators generated by product systems	2
Absence of bound states for quantum walks and CMV matrices via reflections	2
On the ground state of lattice Schrödinger operators	2
A hot spots theorem for the mixed eigenvalue problem with small Dirichlet region	2
Eigenfunction asymptotics and spectral rigidity of the ellipse	2
Hardy inequalities for large fermionic systems	2
The $L^{p}$-boundedness of wave operators for fourth order Schrödinger operators on $\R^{4}$	2
Spectral shift via “lateral” perturbation	1
Disjointness-preserving operators and isospectral Laplacians	1
A uniqueness result for the Calderón problem for $U(N)$-connections coupled to spinors	1
Scattering theory with both regular and singular perturbations	1
Hadamard-type variation formulas for the eigenvalues of the $\eta$-Laplacian and applications	1
Complete asymptotic expansions of the spectral function for symbolic perturbations of almost periodic Schrödinger operators in dimension one	1
The spectrum of the Poincaré operator in an ellipsoid	1
Erratum to “Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains”	1
Several isoperimetric inequalities of Dirichlet and Neumann eigenvalues of the Witten Laplacian	1
A sharp isoperimetric inequality for the second eigenvalue of the Robin plate	1
A theorem on the multiplicity of the singular spectrum of a general Anderson-type Hamiltonian	1

Limit theorems on the mesoscopic scale for the Anderson model	1
Eigenvalues for a class of non-Hermitian tetradiagonal Toeplitz matrices	1
Dirac points for twisted bilayer graphene with in-plane magnetic field	1
Generalised norm resolvent convergence: comparison of different concepts	1
Spectral analysis of Dirac operators for dislocated potentials with a purely imaginary jump	1
Concentration and non-concentration of eigenfunctions of second-order elliptic operators in layered media	1
The wave trace and Birkhoff billiards	1
Spectral theory of the thermal Hamiltonian: 1D case	1
The density of states and local eigenvalue statistics for random band matrices of fixed width	1
Spectral estimates for the Dirichlet Laplacian on spiral-shaped regions	1
Spectral instabilities: variations on a theme loved by Brian Davies	1
On the spectral properties of the Hilbert transform operator on multi-intervals	1
Bound states in bent soft waveguides	1
Magnetic Dirac operator in strips submitted to strong magnetic fields	1
Anderson localization for a generalized Maryland model with potentials given by skew shifts	1
Upper bound on the second Laplacian eigenvalue on real projective space	1
Boundary superconductivity in the BCS Model	1
Quantum ergodicity for pseudo-Laplacians	1
Gelfand’s inverse problem for the graph Laplacian	1
Invariant subspaces of elliptic systems II: Spectral theory	1
Critical points of discrete periodic operators	0
Berezin–Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian	0
Spectral analysis of an open $q$-difference Toda chain with two-sided boundary interactions on the finite integer lattice	0
On topological bound states and secular equations for quantum-graph eigenvalues	0
Propagation of polyhomogeneity, diffraction, and scattering on product cones	0
The distribution of negative eigenvalues of Schrödinger operators on asymptotically hyperbolic manifolds	0
Real diffusion with complex spectral gap	0
On the Benjamin–Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions	0
Gap labels and asymptotic gap opening for full shifts	0
Universal inequalities for Dirichlet eigenvalues on discrete groups	0
Lieb–Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line	0
Exponential moments for disk counting statistics at the hard edge of random normal matrices	0
Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets	0
Remarks on discrete Dirac operators and their continuum limits	0
Regularity of the scattering matrix for nonlinear Helmholtz eigenfunctions	0
Analysis on the derivative of the discriminant polynomial for the critical almost Mathieu operator	0
Subordinacy theory on star-like graphs	0
Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac–Coulomb operators	0
Asymptotics of Robin eigenvalues on sharp infinite cones	0
On the spectrum of critical almost Mathieu operators in the rational case	0
On the Landis conjecture for the fractional Schrödinger equation	0
Erratum to “Critical points of discrete periodic operators”	0
Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones	0
A Szegő type theorem and distribution of symplectic eigenvalues	0
On spectral inclusion sets and computing the spectra and pseudospectra of bounded linear operators	0
A Faber–Krahn inequality for the Riesz potential operator for triangles and quadrilaterals	0
Editors’ introduction	0
On existence of minimizers for weighted $L^{p}$-Hardy inequalities on $C^{1,\gamma}$-domains with compact boundary	0
Uniform decay of unimodal states and non-local Minami estimates for a class of Fermionic Anderson models with deterministic potentials	0
Mathematical results on the chiral models of twisted bilayer graphene (with an appendix by Mengxuan Yang and Zhongkai Tao)	0
The spectrum of self-adjoint extensions associated with exceptional Laguerre differential expressions	0
Anderson localization for Schrödinger operators with monotone potentials over circle homeomorphisms	0
Persistence and disappearance of negative eigenvalues in dimension two	0
$L^p$-bounds for semigroups generated by non-elliptic quadratic differential operators	0
Reflectionless Dirac operators and canonical systems	0
Spectral structure of the Neumann–Poincaré operator on axially symmetric functions	0
Spectral asymptotics and metastability for the linear relaxation Boltzmann equation	0
Lieb–Thirring inequalities for the shifted Coulomb Hamiltonian	0
Sharp semiclassical spectral asymptotics for Schrödinger operators with non-smooth potentials	0
Scaling inequalities for spherical and hyperbolic eigenvalues	0
Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients	0
An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions	0
Poisson transforms for trees of bounded degree	0
Spectral decomposition and Siegel–Veech transforms for strata: the case of marked tori	0
What is ballistic transport?	0
Spectral minimal partitions of unbounded metric graphs	0
Counting eigenvalues of Schrödinger operators using the landscape function	0
Scattering theory for $C^{2}$ long-range potentials	0
Levinson’s theorem for two-dimensional scattering systems: It was a surprise, it is now topological!	0
Deformation of the spectrum for Darboux–Treibich–Verdier potential along $\operatorname{Re}\tau=\frac{1}{2}$	0
Weyl laws for open quantum maps	0
Magnetic Lieb–Thirring inequalities on the torus	0
The harmonic $H^{\infty}$-functional calculus based on the $S$-spectrum	0
Strichartz estimates for the Schrödinger equation on compact manifolds with nonpositive sectional curvature	0
The Schwartzman group of an affine transformation	0
On the spectrum of the Sturm–Liouville problem with arithmetically self-similar weight	0
Edge states for second order elliptic operators in a channel	0
The anisotropic Calderón problem on 3-dimensional conformally Stäckel manifolds	0
Mikhail Shubin (1944–2020)	0
Suprema of Lévy processes with completely monotone jumps: Spectral-theoretic approach	0

Zero measure spectrum for multi-frequency Schrödinger operators	0
Eigenvalue estimates for the one-particle density matrix	0
On the dynamics of quasi-periodic Schrödinger cocycles for positive measure sets of frequencies	0
Resonance expansion for quantum walks and its applications to the long-time behavior	0
Isoperimetric inequalities for inner parallel curves	0
Spectral properties of Schrödinger operators with locally $H^{-1}$ potentials	0
Analytic Besov functional calculus for several commuting operators	0
Isospectrum of non-self-adjoint almost-periodic Schrödinger operators	0
A comparison between Neumann and Steklov eigenvalues	0
The wave kernel on asymptotically complex hyperbolic manifolds	0
Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs	0
Higher order $\mathcal{S}^{p}$-differentiability: The unitary case	0
On inverse problems arising in fractional elasticity	0
Fine dimensional properties of spectral measures	0
Trace class properties of resolvents of Callias operators	0
Bounds on orthogonal polynomials and separation of their zeros	0
The $H^{\infty}$-functional calculus for bisectorial Clifford operators	0
Fractional Calderón problems and Poincaré inequalities on unbounded domains	0
Morse theory for discrete magnetic operators and nodal count distribution for graphs	0
Phase transition in the integrated density of states of the Anderson model arising from a supersymmetric sigma model	0
The pseudospectrum of an operator with Bessel-type singularities	0
Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum	0
An inverse problem for the fractionally damped wave equation	0
Stability of Schur’s iterates and fast solution of the discrete integrable NLS	0
Semiclassical estimates for measure potentials on the real line	0
Type problem, the first eigenvalue and Hardy inequalities	0
Transfer matrix analysis of non-Hermitian Hamiltonians: asymptotic spectra and topological eigenvalues	0
On the spectrum of the periodic focusing Zakharov–Shabat operator	0
Spectral invariants of Dirichlet-to-Neumann operators on surfaces	0
Corrigendum to “Pauli Hamiltonians with an Aharonov–Bohm flux”	0
Nodal domain theorems for $p$-Laplacians on signed graphs	0
Resolvent bounds for Lipschitz potentials in dimension two and higher with singularities at the origin	0
Propagation of well-prepared states along Martinet singular geodesics	0
Sharp Hardy’s inequalities in Hilbert spaces	0
Inequalities à la Pólya for the Aharonov–Bohm eigenvalues of the disk	0
Spectrum of the semi-relativistic Pauli–Fierz model II	0
Johnson–Schwartzman gap labelling for ergodic Jacobi matrices	0
On spatial conditioning of the spectrum of discrete Random Schrödinger operators	0
Dirichlet fractional Laplacian in multi-tubes	0
Asymptotics for the spectral function on Zoll manifolds	0
Spectral theory of Jacobi operators with increasing coefficients. The critical case	0
Critical points of the Eisenstein series $E_{4}$ and application to the spectrum of the Lamé operator	0
On Lieb–Thirring inequalities for one-dimensional non-self-adjoint Jacobi and Schrödinger operators	0
Coverings preserving the bottom of the spectrum	0
On the effects of small perturbation on low energy Laplace eigenfunctions	0
Eigenfunctions growth of R-limits on graphs	0
Counterexamples and weak (1,1) estimates of wave operators for fourth-order Schrödinger operators in dimension three	0