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
Ballistic transport for limit-periodic Schrödinger operators in one dimension	6
Inertia of Kraus matrices	6
On periodic and antiperiodic spectra of non-self-adjoint Dirac operators	6
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
The Hartree functional in a double well	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
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
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
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
The spectrum of the Poincaré operator in an ellipsoid	1
A uniqueness result for the Calderón problem for $U(N)$-connections coupled to spinors	1
Hadamard-type variation formulas for the eigenvalues of the $\eta$-Laplacian and applications	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
Dirac points for twisted bilayer graphene with in-plane magnetic field	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
Eigenvalues for a class of non-Hermitian tetradiagonal Toeplitz matrices	1
Generalised norm resolvent convergence: comparison of different concepts	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
On the spectral properties of the Hilbert transform operator on multi-intervals	1
Magnetic Dirac operator in strips submitted to strong magnetic fields	1
Upper bound on the second Laplacian eigenvalue on real projective space	1
Boundary superconductivity in the BCS Model	1
Spectral instabilities: variations on a theme loved by Brian Davies	1
Bound states in bent soft waveguides	1
Anderson localization for a generalized Maryland model with potentials given by skew shifts	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
Spectral shift via “lateral” perturbation	1
Disjointness-preserving operators and isospectral Laplacians	1
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
Asymptotics for the spectral function on Zoll manifolds	0
On the effects of small perturbation on low energy Laplace eigenfunctions	0
Eigenfunctions growth of R-limits on graphs	0
Resonance expansion for quantum walks and its applications to the long-time behavior	0
Counterexamples and weak (1,1) estimates of wave operators for fourth-order Schrödinger operators in dimension three	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
Analytic Besov functional calculus for several commuting operators	0
On topological bound states and secular equations for quantum-graph eigenvalues	0
The distribution of negative eigenvalues of Schrödinger operators on asymptotically hyperbolic manifolds	0
Real diffusion with complex spectral gap	0
Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs	0
Universal inequalities for Dirichlet eigenvalues on discrete groups	0
Trace class properties of resolvents of Callias operators	0
Gap labels and asymptotic gap opening for full shifts	0
Exponential moments for disk counting statistics at the hard edge of random normal matrices	0
Fractional Calderón problems and Poincaré inequalities on unbounded domains	0
Lieb–Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line	0
Regularity of the scattering matrix for nonlinear Helmholtz eigenfunctions	0
The pseudospectrum of an operator with Bessel-type singularities	0
Remarks on discrete Dirac operators and their continuum limits	0
Subordinacy theory on star-like graphs	0
Type problem, the first eigenvalue and Hardy inequalities	0
Asymptotics of Robin eigenvalues on sharp infinite cones	0
On the spectrum of the periodic focusing Zakharov–Shabat operator	0
On the Landis conjecture for the fractional Schrödinger equation	0
Erratum to “Critical points of discrete periodic operators”	0
On the spectrum of critical almost Mathieu operators in the rational case	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
Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones	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
A Faber–Krahn inequality for the Riesz potential operator for triangles and quadrilaterals	0
Anderson localization for Schrödinger operators with monotone potentials over circle homeomorphisms	0
Persistence and disappearance of negative eigenvalues in dimension two	0
Johnson–Schwartzman gap labelling for ergodic Jacobi matrices	0
Mathematical results on the chiral models of twisted bilayer graphene (with an appendix by Mengxuan Yang and Zhongkai Tao)	0
Reflectionless Dirac operators and canonical systems	0
Spectral structure of the Neumann–Poincaré operator on axially symmetric functions	0
Spectral theory of Jacobi operators with increasing coefficients. The critical case	0
Spectral asymptotics and metastability for the linear relaxation Boltzmann equation	0
Sharp semiclassical spectral asymptotics for Schrödinger operators with non-smooth potentials	0
Scaling inequalities for spherical and hyperbolic eigenvalues	0
Coverings preserving the bottom of the spectrum	0
Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients	0
Spectral decomposition and Siegel–Veech transforms for strata: the case of marked tori	0
Critical points of discrete periodic operators	0
Poisson transforms for trees of bounded degree	0
Counting eigenvalues of Schrödinger operators using the landscape function	0
Propagation of polyhomogeneity, diffraction, and scattering on product cones	0
Spectral minimal partitions of unbounded metric graphs	0
Levinson’s theorem for two-dimensional scattering systems: It was a surprise, it is now topological!	0
On the Benjamin–Ono equation on $\mathbb{T}$ and its periodic and quasiperiodic solutions	0
Scattering theory for $C^{2}$ long-range potentials	0
Magnetic Lieb–Thirring inequalities on the torus	0
Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets	0
Weyl laws for open quantum maps	0

Strichartz estimates for the Schrödinger equation on compact manifolds with nonpositive sectional curvature	0
Analysis on the derivative of the discriminant polynomial for the critical almost Mathieu operator	0
On the spectrum of the Sturm–Liouville problem with arithmetically self-similar weight	0
Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac–Coulomb operators	0
The anisotropic Calderón problem on 3-dimensional conformally Stäckel manifolds	0
Mikhail Shubin (1944–2020)	0
Edge states for second order elliptic operators in a channel	0
Zero measure spectrum for multi-frequency Schrödinger operators	0
Eigenvalue estimates for the one-particle density matrix	0
Suprema of Lévy processes with completely monotone jumps: Spectral-theoretic approach	0
Isoperimetric inequalities for inner parallel curves	0
Spectral properties of Schrödinger operators with locally $H^{-1}$ potentials	0
On the dynamics of quasi-periodic Schrödinger cocycles for positive measure sets of frequencies	0
Isospectrum of non-self-adjoint almost-periodic Schrödinger operators	0
A comparison between Neumann and Steklov eigenvalues	0
Editors’ introduction	0
The wave kernel on asymptotically complex hyperbolic manifolds	0
Higher order $\mathcal{S}^{p}$-differentiability: The unitary case	0
On inverse problems arising in fractional elasticity	0
The spectrum of self-adjoint extensions associated with exceptional Laguerre differential expressions	0
Fine dimensional properties of spectral measures	0
Bounds on orthogonal polynomials and separation of their zeros	0
The $H^{\infty}$-functional calculus for bisectorial Clifford operators	0
$L^p$-bounds for semigroups generated by non-elliptic quadratic differential operators	0
Phase transition in the integrated density of states of the Anderson model arising from a supersymmetric sigma model	0
Lieb–Thirring inequalities for the shifted Coulomb Hamiltonian	0
Morse theory for discrete magnetic operators and nodal count distribution for graphs	0
An inverse problem for the fractionally damped wave equation	0
An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions	0
Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum	0
Semiclassical estimates for measure potentials on the real line	0
What is ballistic transport?	0
Stability of Schur’s iterates and fast solution of the discrete integrable NLS	0
Transfer matrix analysis of non-Hermitian Hamiltonians: asymptotic spectra and topological eigenvalues	0
Deformation of the spectrum for Darboux–Treibich–Verdier potential along $\operatorname{Re}\tau=\frac{1}{2}$	0
Spectral invariants of Dirichlet-to-Neumann operators on surfaces	0
The harmonic $H^{\infty}$-functional calculus based on the $S$-spectrum	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
Corrigendum to “Pauli Hamiltonians with an Aharonov–Bohm flux”	0
The Schwartzman group of an affine transformation	0
Sharp Hardy’s inequalities in Hilbert spaces	0
Inequalities à la Pólya for the Aharonov–Bohm eigenvalues of the disk	0
Propagation of well-prepared states along Martinet singular geodesics	0
On spatial conditioning of the spectrum of discrete Random Schrödinger operators	0
Dirichlet fractional Laplacian in multi-tubes	0
Spectrum of the semi-relativistic Pauli–Fierz model II	0