## Journal of Spectral Theory

 Short Title: J. Spectr. Theory Publisher: EMS Press, Berlin ISSN: 1664-039X; 1664-0403/e Online: https://www.ems-ph.org/journals/all_issues.php?issn=1664-039Xhttps://ems.press/journals/jst/read Comments: Indexed cover-to-cover
 Documents Indexed: 402 Publications (since 2011) References Indexed: 331 Publications with 7,007 References.
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### Latest Issues

 12, No. 1 (2022) 11, No. 4 (2021) 11, No. 3 (2021) 11, No. 2 (2021) 11, No. 1 (2021) 10, No. 4 (2020) 10, No. 3 (2020) 10, No. 2 (2020) 10, No. 1 (2020) 9, No. 4 (2019) 9, No. 3 (2019) 9, No. 2 (2019) 9, No. 1 (2019) 8, No. 4 (2018) 8, No. 3 (2018) 8, No. 2 (2018) 8, No. 1 (2018) 7, No. 4 (2017) 7, No. 3 (2017) 7, No. 2 (2017) 7, No. 1 (2017) 6, No. 4 (2016) 6, No. 3 (2016) 6, No. 2 (2016) 6, No. 1 (2016) 5, No. 4 (2015) 5, No. 3 (2015) 5, No. 2 (2015) 5, No. 1 (2015) 4, No. 4 (2014) 4, No. 3 (2014) 4, No. 2 (2014) 4, No. 1 (2014) 3, No. 4 (2013) 3, No. 3 (2013) 3, No. 2 (2013) 3, No. 1 (2013) 2, No. 4 (2012) 2, No. 3 (2012) 2, No. 2 (2012) 2, No. 1 (2012) 1, No. 4 (2011) 1, No. 3 (2011) 1, No. 2 (2011) 1, No. 1 (2011)
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### Authors

 8 Lukic, Milivoje 6 Behrndt, Jussi 6 Damanik, David 5 Fillman, Jake 5 Klein, Abel 4 Cvetković-Ilić, Dragana S. 4 Gordon, Alexander Ya. 4 Helffer, Bernard 4 Nichols, Roger 4 Pushnitski, Alexander B. 4 Simon, Barry 4 Sobolev, Alexander V. 4 Stubbe, Joachim 4 Vassiliev, Dmitri G. 3 Carey, Alan L. 3 Elgart, Alexander 3 Frank, Rupert L. 3 Galkowski, Jeffrey 3 Gesztesy, Fritz 3 Girouard, Alexandre 3 Golinskii, Leonid Borisovich 3 Harrell, Evans M. II 3 Hempel, Rainer 3 Jakobson, Dmitry 3 Karpukhin, Mikhail A. 3 Keller, Matthias 3 Kian, Yavar 3 Kopylova, Elena A. 3 Kovařík, Hynek 3 Krejčiřík, David 3 Laptev, Ari 3 Molchanov, Stanislav Alekseevich 3 Polterovich, Iosif 3 Post, Olaf 3 Raymond, Nicolas 3 Rohleder, Jonathan 3 Schlag, Wilhelm 3 Siudeja, Bartłomiej Andrzej 3 Steinerberger, Stefan 3 Strohmaier, Alexander 3 Sukochev, Fedor Anatol’evich 3 Vaĭnberg, Boris Rufimovich 3 van den Berg, Michiel 3 Voda, Mircea 3 Yuditskii, Peter Meerovich 3 Zelditch, Steve 2 Barbaroux, Jean-Marie 2 Beckus, Siegfried 2 Behncke, Horst 2 Berkolaiko, Gregory 2 Bhatia, Rajendra 2 Binder, Ilia A. 2 Bögli, Sabine 2 Bony, Jean-François 2 Borthwick, David 2 Breuer, Jonathan 2 Briet, Philippe 2 Canzani, Yaiza 2 Choulli, Mourad 2 Chulaevsky, Victor 2 Cornean, Horia D. 2 Cuenin, Jean-Claude 2 Datchev, Kiril R. 2 Daudé, Thierry 2 Dyatlov, Semyon 2 Fanelli, Luca 2 Faupin, Jérémy 2 Felli, Veronica 2 Fournais, Søren 2 Gebert, Martin 2 Geisinger, Leander 2 Goldberg, Michael Joseph 2 Goldstein, Michael 2 Green, William R. 2 Grubb, Gerd 2 Grubišić, Luka 2 Guillot, Jean-Claude 2 Han, Rui 2 Hansmann, Marcel 2 Hassannezhad, Asma 2 Hassell, Andrew 2 Henry, Raphaël 2 Hezari, Hamid 2 Hillairet, Luc 2 Hinton, Don Barker 2 Jain, Tanvi 2 Jitomirskaya, Svetlana Yakovlevna 2 Joye, Alain 2 Kamran, Niky 2 Kennedy, James Bernard 2 Komech, Alexander Ilich 2 Kostrykin, Vadim V. 2 Krishna, Maddaly 2 Kuchment, Peter A. 2 Kurylëv, Yaroslav Vadimovich 2 Kwaśnicki, Mateusz 2 Lagacé, Jean 2 Langer, Matthias 2 Larson, Simon 2 Laugesen, Richard Snyder ...and 503 more Authors
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### Fields

 211 Partial differential equations (35-XX) 189 Operator theory (47-XX) 92 Quantum theory (81-XX) 75 Global analysis, analysis on manifolds (58-XX) 56 Ordinary differential equations (34-XX) 29 Probability theory and stochastic processes (60-XX) 27 Statistical mechanics, structure of matter (82-XX) 21 Functional analysis (46-XX) 20 Dynamical systems and ergodic theory (37-XX) 17 Difference and functional equations (39-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 14 Differential geometry (53-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Functions of a complex variable (30-XX) 10 Potential theory (31-XX) 8 Combinatorics (05-XX) 8 Special functions (33-XX) 8 Numerical analysis (65-XX) 5 Number theory (11-XX) 5 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-XX) 5 Fluid mechanics (76-XX) 4 Abstract harmonic analysis (43-XX) 4 Optics, electromagnetic theory (78-XX) 3 Topological groups, Lie groups (22-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 2 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

294 Publications have been cited 1,597 times in 1,348 Documents Cited by Year
Spectral geometry of the Steklov problem (survey article). Zbl 1378.58026
Girouard, Alexandre; Polterovich, Iosif
2017
Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions. Zbl 1287.47023
Haeseler, Sebastian; Keller, Matthias; Lenz, Daniel; Wojciechowski, Radosław
2012
Rayleigh estimates for differential operators on graphs. Zbl 1301.34108
Kurasov, Pavel; Naboko, Naboko
2014
Eigenvalue bounds for Schrödinger operators with complex potentials II. Zbl 1386.35061
Frank, Rupert L.; Simon, Barry
2017
A graph discretization of the Laplace-Beltrami operator. Zbl 1327.58029
Burago, Dmitri; Ivanov, Sergei; Kurylev, Yaroslav
2014
The gdmp inverse of Hilbert space operators. Zbl 1392.15009
Mosić, Dijana; Djordjević, Dragan S.
2018
Resolvent conditions for the control of unitary groups and their approximations. Zbl 1239.93012
Miller, Luc
2012
Symmetry and Dirac points in graphene spectrum. Zbl 1411.35092
Berkolaiko, Gregory; Comech, Andrew
2018
Global well-posedness and long-time asymptotics for the defocussing Davey-Stewartson II equation in $$H^{1,1}(\mathbb{C})$$. Zbl 1354.37067
Perry, Peter A.
2016
Spectral stability of Schrödinger operators with subordinated complex potentials. Zbl 1391.35296
Fanelli, Luca; Krejčiřík, David; Vega, Luis
2018
Dispersion estimates for one-dimensional discrete Schrödinger and wave equations. Zbl 1332.35313
Egorova, Iryna; Kopylova, Elena; Teschl, Gerald
2015
Cauchy problem of the non-self-adjoint Gauss-Laguerre semigroups and uniform bounds for generalized Laguerre polynomials. Zbl 1460.34073
2017
Resonances for asymptotically hyperbolic manifolds: Vasy’s method revisited. Zbl 1365.58012
Zworski, Maciej
2016
Asymptotics of the number of the interior transmission eigenvalues. Zbl 1458.35291
Petkov, Vesselin; Vodev, Georgi
2017
Resonances for 1D Stark operators. Zbl 1460.34071
Korotyaev, Evgeny L.
2017
Approximate quantum and acoustic cloaking. Zbl 1257.35156
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther
2011
Geometrical versions of improved Berezin-Li-Yau inequalities. Zbl 1257.35138
Geisinger, Leander; Laptev, Ari; Weidl, Timo
2011
Almost all eigenfunctions of a rational polygon are uniformly distributed. Zbl 1242.37027
Marklof, Jens; Rudnick, Zeév
2012
Commutator methods for unitary operators. Zbl 1290.47036
Fernández, Claudio; Richard, Serge; Tiedra de Aldecoa, Rafael
2013
Semiclassical analysis with vanishing magnetic fields. Zbl 1319.35127
Dombrowski, Nicolas; Raymond, Nicolas
2013
Limiting absorption principle, generalized eigenfunctions, and scattering matrix for Laplace operators with boundary conditions on hypersurfaces. Zbl 1402.35194
Mantile, Andrea; Posilicano, Andrea; Sini, Mourad
2018
Weyl-type bounds for Steklov eigenvalues. Zbl 1409.35160
Provenzano, Luigi; Stubbe, Joachim
2019
Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials. Zbl 1320.34116
Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald
2014
Cwikel’s theorem and the CLR inequality. Zbl 1295.35347
Frank, Rupert L.
2014
Spectral instability for even non-selfadjoint anharmonic oscillators. Zbl 1308.34112
Henry, Raphaël
2014
Eigenvalues in spectral gaps of differential operators. Zbl 1256.65079
Marletta, Marco; Scheichl, Rob
2012
Spectral asymptotics for Robin problems with a discontinuous coefficient. Zbl 1223.35146
Grubb, Gerd
2011
Quantitative equidistribution properties of toral eigenfunctions. Zbl 1369.58022
Hezari, Hamid; Rivière, Gabriel
2017
Differential equations for discrete Jacobi-Sobolev orthogonal polynomials. Zbl 1384.33019
Durán, Antonio J.; de la Iglesia, Manuel D.
2018
Schrödinger operators with slowly decaying Wigner-von Neumann type potentials. Zbl 1278.34100
Lukic, Milivoje
2013
Spectral properties of grain boundaries at small angles of rotation. Zbl 1222.35133
Hempel, Rainer; Kohlmann, Martin
2011
On spectral properties of Neuman-Poincaré operator and plasmonic resonances in 3D elastostatics. Zbl 1435.35372
Deng, Youjun; Li, Hongjie; Liu, Hongyu
2019
Infinite mass boundary conditions for Dirac operators. Zbl 1419.81014
Stockmeyer, Edgardo; Vugalter, Semjon
2019
Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions. Zbl 1366.37053
Borthwick, David; Weich, Tobias
2016
Convergence of the density of states and delocalization of eigenvectors on random regular graphs. Zbl 1384.60024
Geisinger, Leander
2015
On the completeness and Riesz basis property of root subspaces of boundary value problems for first order systems and applications. Zbl 1333.47038
Lunyov, Anton A.; Malamud, Mark M.
2015
Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum. Zbl 1432.34113
Damanik, David; Fillman, Jake; Lukic, Milivoje
2017
On weak and strong solution operators for evolution equations coming from quadratic operators. Zbl 1474.35196
Aleman, Alexandru; Viola, Joe
2018
Spectral analysis of tridiagonal Fibonacci Hamiltonians. Zbl 1276.47036
Yessen, William N.
2013
A priori bounds and existence of non-real eigenvalues of indefinite Sturm-Liouville problems. Zbl 1302.34128
Qi, Jiangang; Chen, Shaozhu
2014
Spectrum of a Feinberg-Zee random hopping matrix. Zbl 1262.15007
Chandler-Wilde, Simon N.; Davies, E. Brian
2012
Superconductivity between $$H_{C_2}$$ and $$H_{C_3}$$. Zbl 1225.34097
Fournais, Søren; Helffer, Bernard; Persson, Mikael
2011
Inverse problem for Dirac systems with locally square-summable potentials and rectangular Weyl functions. Zbl 1329.34040
Sakhnovich, Alexander
2015
Resonances and lower resolvent bounds. Zbl 1326.35299
Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej
2015
Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. II: The even dimensional case. Zbl 1372.35261
Goldberg, Michael; Green, William R.
2017
Fredholm and invertibility theory for a special class of Toeplitz $$+$$ Hankel operators. Zbl 1282.47035
Basor, Estelle L.; Ehrhardt, Torsten
2013
On spectral estimates for two-dimensional Schrödinger operators. Zbl 1294.35048
Laptev, Ari; Solomyak, Michael
2013
Ballistic behavior for random Schrödinger operators on the Bethe strip. Zbl 1268.82015
2011
A nodal domain theorem and a higher-order Cheeger inequality for the graph $$p$$-Laplacian. Zbl 06930087
Tudisco, Francesco; Hein, Matthias
2018
The spectrum of a Schrödinger operator with small quasi-periodic potential is homogeneous. Zbl 1350.34067
Damanik, David; Goldstein, Michael; Lukic, Milivoje
2016
An inverse anisotropic conductivity problem induced by twisting a homogeneous cylindrical domain. Zbl 1321.35258
2015
Complex $$\Gamma$$-convergence and magnetic Dirichlet Laplacian in bounded thin tubes. Zbl 1308.81092
Bedoya, Roxana; de Oliveira, César R.; Verri, Alessandra A.
2014
Efficient Anderson localization bounds for large multi-particle systems. Zbl 1366.82037
Chulaevsky, Victor; Suhov, Yuri
2017
Isospectrality for graph Laplacians under the change of coupling at graph vertices. Zbl 1346.81048
Ershova, Yulia; Karpenko, Irina I.; Kiselev, Alexander V.
2016
The spectral function of a first order elliptic system. Zbl 1346.35136
Chervova, Olga; Downes, Robert J.; Vassiliev, Dmitri
2013
Spectral flow for skew-adjoint Fredholm operators. Zbl 1472.58017
Carey, Alan L.; Phillips, John; Schulz-Baldes, Hermann
2019
Bootstrap multiscale analysis and localization for multi-particle continuous Anderson Hamiltonians. Zbl 1330.82029
Klein, Abel; Nguyen, Son T.
2015
Spectral asymptotics for resolvent differences of elliptic operators with $$\delta$$ and $$\delta^{'}$$-interactions on hypersurfaces. Zbl 1353.47090
Behrndt, Jussi; Grubb, Gerd; Langer, Matthias; Lotoreichik, Vladimir
2015
Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy. Zbl 1326.35212
Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich
2015
Improved Hardy and Hardy-Rellich type inequalities with Bessel pairs via factorizations. Zbl 07377502
Duy, Nguyen Tuan; Lam, Nguyen; Triet, Nguyen Anh
2020
Resonance expansions for tensor-valued waves on asymptotically Kerr-de Sitter spaces. Zbl 1369.35093
Hintz, Peter
2017
A weighted estimate for two dimensional Schrödinger, matrix Schrödinger, and wave equations with resonance of the first kind at zero energy. Zbl 1383.35069
Toprak, Ebru
2017
A multidimensional Borg-Levinson theorem for magnetic Schrödinger operators with partial spectral data. Zbl 1395.35215
Kian, Yavar
2018
Spectral distribution of PDE discretization matrices from isogeometric analysis: the case of $$L^1$$ coefficients and non-regular geometry. Zbl 1390.35211
Garoni, Carlo
2018
Trace formulae for perturbations of class $$s_m$$. Zbl 1272.47020
Aleksandrov, Alexei B.; Peller, Vladimir V.
2011
Generalized Weyl theorems and spectral pollution in the Galerkin method. Zbl 1260.35086
Boulton, Lyonell; Boussaïd, Nabile; Lewin, Mathieu
2012
Spectral properties of bipolar surfaces to Otsuki tori. Zbl 1291.58005
Karpukhin, Mikhail A.
2014
The Brownian traveller on manifolds. Zbl 1297.35253
Kolb, Martin; Krejčiřík, David
2014
The Tamarkin equiconvergence theorem and a first-order trace formula for regular differential operators revisited. Zbl 1311.34169
Nazarov, Alexander I.; Stolyarov, Dmitry M.; Zatitskiy, Pavel B.
2014
Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries. Zbl 1258.15011
Bogoya, Johan M.; Böttcher, Albrecht; Grudsky, Sergei M.
2012
Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators. Zbl 1419.35143
Abatangelo, Laura; Felli, Veronica; Hillairet, Luc; Léna, Corentin
2019
Local convergence of spectra and pseudospectra. Zbl 06930093
Bögli, Sabine
2018
Quantum confinement on non-complete Riemannian manifolds. Zbl 1415.58021
Prandi, Dario; Rizzi, Luca; Seri, Marcello
2018
Eigenvalue estimates for the resolvent of a non-normal matrix. Zbl 1316.15021
Szehr, Oleg
2014
Inertia of the matrix $$[(p_i+p_j)^r]$$. Zbl 1321.15017
Bhatia, Rajendra; Jain, Tanvi
2015
Localization for transversally periodic random potentials on binary trees. Zbl 1354.82016
Froese, Richard; Lee, Darrick; Sadel, Christian; Spitzer, Wolfgang; Stolz, Günter
2016
Spectral homogeneity of limit-periodic Schrödinger operators. Zbl 1378.34097
Fillman, Jake; Lukic, Milivoje
2017
Wave propagation on Euclidean surfaces with conical singularities. I: Geometric diffraction. Zbl 1403.35015
Ford, G. Austin; Hassell, Andrew; Hillairet, Luc
2018
Stability result for elliptic inverse periodic coefficient problem by partial Dirichlet-to-Neumann map. Zbl 1419.35239
Choulli, Mourad; Kian, Yavar; Soccorsi, Eric
2018
Pseudospectra of the Schrödinger operator with a discontinuous complex potential. Zbl 1377.34106
Henry, Raphaël; Krejčiřík, David
2017
Scattering zippers and their spectral theory. Zbl 1288.47011
Marin, Laurent; Schulz-Baldes, Hermann
2013
A new approach to ratio asymptotics for orthogonal polynomials. Zbl 1266.42070
Simanek, Brian
2012
The Galerkin method for perturbed self-adjoint operators and applications. Zbl 06297667
Strauss, Michael
2014
Microlocal limits of Eisenstein functions away from the unitarity axis. Zbl 1241.58015
Dyatlov, Semyon
2012
Universal measurability and the Hochschild class of the Chern character. Zbl 1361.46050
Carey, Alan L.; Rennie, Adam; Sukochev, Fedor; Zanin, Dmitriy
2016
An abstract approach to weak convergence of spectral shift functions and applications to multi-dimensional Schrödinger operators. Zbl 1263.47015
Gesztesy, Fritz; Nichols, Roger
2012
Discrete spectrum of quantum Hall effect Hamiltonians. I: Monotone edge potentials. Zbl 1219.35158
Bruneau, Vincent; Miranda, Pablo L.; Raikov, Georgi D.
2011
Eigenvalue bounds for two-dimensional magnetic Schrödinger operators. Zbl 1231.35131
Kovařík, Hynek
2011
Perturbations of globally hypoelliptic operators on closed manifolds. Zbl 1430.58019
De Ávila Silva, Fernando; Kirilov, Alexandre
2019
On the stability of some isoperimetric inequalities for the fundamental tones of free plates. Zbl 1400.35090
Buoso, Davide; Chasman, L. Mercredi; Provenzano, Luigi
2018
Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound. Zbl 1360.58023
Hassannezhad, Asma; Kokarev, Gerasim; Polterovich, Iosif
2016
Logarithmic lower bound on the number of nodal domains. Zbl 1380.58024
Zelditch, Steve
2016
Large deviations and sum rules for spectral theory: a pedagogical approach. Zbl 1402.60029
Breuer, Jonathan; Simon, Barry; Zeitouni, Ofer
2018
Poisson kernel expansions for Schrödinger operators on trees. Zbl 1410.81022
Anantharaman, Nalini; Sabri, Mostafa
2019
On the spectrum and numerical range of tridiagonal random operators. Zbl 1443.47043
Hagger, Raffael
2016
Resolvents, Poisson operators and scattering matrices on asymptotically hyperbolic and de Sitter spaces. Zbl 1381.58014
Vasy, András
2014
On anomalous Lieb-Robinson bounds for the Fibonacci XY chain. Zbl 1350.81009
Damanik, David; Lemm, Marius; Lukic, Milivoje; Yessen, William
2016
Spectral estimates, contractions and hypercontractivity. Zbl 1396.35005
Milman, Emanuel
2018
On sums of eigenvalues of elliptic operators on manifolds. Zbl 1382.58023
El Soufi, Ahmad; Harrell, Evans M. II; Ilias, Saïd; Stubbe, Joachim
2017
Green’s function asymptotics near the internal edges of spectra of periodic elliptic operators. Spectral gap interior. Zbl 1394.35297
Kha, Minh; Kuchment, Peter; Raich, Andrew
2017
Eigenvalues of singular measures and Connes’ noncommutative integration. Zbl 07500903
Rozenblum, Grigori
2022
Invariant subspaces of elliptic systems. II: spectral theory. Zbl 07500904
Capoferri, Matteo; Vassiliev, Dmitri
2022
Wildly perturbed manifolds: norm resolvent and spectral convergence. Zbl 1469.58018
Anné, Colette; Post, Olaf
2021
Direct and inverse problems for the nonlinear time-harmonic Maxwell equations in Kerr-type media. Zbl 1475.35330
Assylbekov, Yernat M.; Zhou, Ting
2021
On a continuum limit of discrete Schrödinger operators on square lattice. Zbl 07377518
2021
Steklov and Robin isospectral manifolds. Zbl 1469.58021
Gordon, Carolyn; Herbrich, Peter; Webb, David
2021
Mixed data in inverse spectral problems for the Schrödinger operators. Zbl 07377516
Hatinoğlu, Burak
2021
On operator error estimates for homogenization of hyperbolic systems with periodic coefficients. Zbl 1477.35021
Meshkova, Yulia M.
2021
Trace class properties of the non homogeneous linear Vlasov-Poisson equation in dimension $$1+1$$. Zbl 07428324
Després, Bruno
2021
The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates. Zbl 07481658
Erdoğan, M. Burak; Goldberg, Michael; Green, William R.
2021
Self-adjointness of two-dimensional Dirac operators on corner domains. Zbl 07481661
Pizzichillo, Fabio; Van Den Bosch, Hanne
2021
Recovery of time-dependent coefficients from boundary data for hyperbolic equations. Zbl 07481663
Feizmohammadi, Ali; Ilmavirta, Joonas; Kian, Yavar; Oksanen, Lauri
2021
Quantum evolution and sub-Laplacian operators on groups of Heisenberg type. Zbl 07481670
Fermanian-Kammerer, Clotilde; Fischer, Véronique
2021
Quantum ergodicity for pseudo-Laplacians. Zbl 07483997
Studnia, Elie
2021
Upper eigenvalue bounds for the Kirchhoff Laplacian on embedded metric graphs. Zbl 07484003
Plümer, Marvin
2021
Improved Hardy and Hardy-Rellich type inequalities with Bessel pairs via factorizations. Zbl 07377502
Duy, Nguyen Tuan; Lam, Nguyen; Triet, Nguyen Anh
2020
Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces. Zbl 1445.35233
Vasy, András
2020
On Dirac operators with electrostatic $$\delta$$-shell interactions of critical strength. Zbl 1437.35595
Behrndt, Jussi; Holzmann, Markus
2020
The anisotropic Calderón problem for singular metrics of warped product type: the borderline between uniqueness and invisibility. Zbl 1445.81066
Daudé, Thierry; Kamran, Niky; Nicoleau, François
2020
Reducible Fermi surfaces for non-symmetric bilayer quantum-graph operators. Zbl 07200131
Shipman, Stephen P.
2020
Factorizations and Hardy-Rellich inequalities on stratified groups. Zbl 07377505
Ruzhansky, Michael; Yessirkegenov, Nurgissa
2020
Criticality theory for Schrödinger operators on graphs. Zbl 1441.31006
Keller, Matthias; Pinchover, Yehuda; Pogorzelski, Felix
2020
Local and global trace formulae for smooth hyperbolic diffeomorphisms. Zbl 1442.37038
Jézéquel, Malo
2020
Shnol-type theorem for the Agmon ground state. Zbl 1445.35259
Beckus, Siegfried; Pinchover, Yehuda
2020
Calderón problem for Yang-Mills connections. Zbl 1445.35326
Cekić, Mihajlo
2020
An uncertainty principle and lower bounds for the Dirichlet Laplacian on graphs. Zbl 1448.47051
Lenz, H. Daniel; Stollmann, Peter R. M.; Stolz, Gunter H.
2020
Courant’s nodal domain theorem for positivity preserving forms. Zbl 1444.47004
Keller, Matthias; Schwarz, Michael
2020
On the asymptotic behaviour of solutions of the Dirac system and applications to the Sturm-Liouville problem with a singular potential. Zbl 1468.34121
Gomilko, Alexander; Rzepnicki, Łukasz
2020
Tingley’s problem for $$p$$-Schatten von Neumann classes. Zbl 1472.46006
Fernández-Polo, Francisco J.; Jordá, Enrique; Peralta, Antonio M.
2020
Unique continuation and lifting of spectral band edges of Schrödinger operators on unbounded domains. Zbl 1461.35171
Nakić, Ivica; Täufer, Matthias; Tautenhahn, Martin; Veselić, Ivan
2020
Points on nodal lines with given direction. Zbl 1472.58020
Rudnick, Zeév; Wigman, Igor
2020
The BFK-gluing formula and the curvature tensors on a 2-dimensional compact hypersurface. Zbl 1476.58034
Kirsten, Klaus; Lee, Yoonweon
2020
Semiclassical resolvent bound for compactly supporte $$L^\infty$$ potentials. Zbl 1445.35274
Shapiro, Jacob
2020
Sobolev extension operators and Neumann eigenvalues. Zbl 1442.35279
Gol&rsquo;dshtein, Vladimir; Pchelintsev, Valerii; Ukhlov, Alexander
2020
Density of resonances for covers of Schottky surfaces. Zbl 1460.58017
Pohl, Anke; Soares, Louis
2020
Matrix measures and finite rank perturbations of self-adjoint operators. Zbl 07377499
Liaw, Constanze; Treil, Sergei
2020
On the semiclassical Laplacian with magnetic field having self-intersecting zero set. Zbl 1470.35245
Dauge, Monique; Miqueu, Jean-Philippe; Raymond, Nicolas
2020
On essential self-adjointness for first order differential operators on domains in $$\mathbb{R}^d$$. Zbl 1470.35138
Nenciu, Gheorghe; Nenciu, Irina
2020
Oscillation theory and semibounded canonical systems. Zbl 1477.34110
Remling, Christian; Scarbrough, Kyle
2020
Uniform hyperbolicity and its relation with spectral analysis of 1D discrete Schrödinger operators. Zbl 1482.37030
Zhang, Zhenghe
2020
Weyl-type bounds for Steklov eigenvalues. Zbl 1409.35160
Provenzano, Luigi; Stubbe, Joachim
2019
On spectral properties of Neuman-Poincaré operator and plasmonic resonances in 3D elastostatics. Zbl 1435.35372
Deng, Youjun; Li, Hongjie; Liu, Hongyu
2019
Infinite mass boundary conditions for Dirac operators. Zbl 1419.81014
Stockmeyer, Edgardo; Vugalter, Semjon
2019
Spectral flow for skew-adjoint Fredholm operators. Zbl 1472.58017
Carey, Alan L.; Phillips, John; Schulz-Baldes, Hermann
2019
Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators. Zbl 1419.35143
Abatangelo, Laura; Felli, Veronica; Hillairet, Luc; Léna, Corentin
2019
Perturbations of globally hypoelliptic operators on closed manifolds. Zbl 1430.58019
De Ávila Silva, Fernando; Kirilov, Alexandre
2019
Poisson kernel expansions for Schrödinger operators on trees. Zbl 1410.81022
Anantharaman, Nalini; Sabri, Mostafa
2019
Eigenvalue bounds for non-self-adjoint Schrödinger operators with the inverse-square potential. Zbl 1412.35206
Mizutani, Haruya
2019
Upper bounds on the spectral gaps of quasi-periodic Schrödinger operators with Liouville frequencies. Zbl 1441.47038
Liu, Wencai; Shi, Yunfeng
2019
Two-spectra theorem with uncertainty. Zbl 1433.42024
Makarov, Nikolai; Poltoratski, Alexei
2019
Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains. Zbl 1425.35126
Larson, Simon
2019
Structure formulas for wave operators under a small scaling invariant condition. Zbl 1428.35254
Beceanu, Marius; Schlag, Wilhelm
2019
Spectra of discrete two-dimensional periodic Schrödinger operators with small potentials. Zbl 1436.35095
Embree, Mark; Fillman, Jake
2019
Oscillating heat kernels on ultrametric spaces. Zbl 1409.60114
Bendikov, Alexander; Cygan, Wojciech; Woess, Wolfgang
2019
Magnetic Schrödinger operators as the quasi-classical limit of Pauli-Fierz-type models. Zbl 1433.81087
Correggi, Michele; Falconi, Marco; Olivieri, Marco
2019
Polynomial upper bound on interior Steklov nodal sets. Zbl 1430.35178
Georgiev, Bogdan; Roy-Fortin, Guillaume
2019
Global and local structures of oscillatory bifurcation curves. Zbl 1431.34030
Shibata, Tetsutaro
2019
Eigensystem multiscale analysis for Anderson localization in energy intervals. Zbl 1426.82028
Elgart, Alexander; Klein, Abel
2019
Low-energy spectrum of Toeplitz operators: the case of wells. Zbl 1462.32009
Deleporte, Alix
2019
Toda maps, cocycles, and canonical systems. Zbl 1434.37037
Remling, Christian
2019
On the spectral resolution of products of Laplacian eigenfunctions. Zbl 1436.35265
Steinerberger, Stefan
2019
Chirality induced interface currents in the Chalker-Coddington model. (Chirality induced interface currents in the Chalker-Goddington model.) Zbl 1453.82031
Asch, Joachim; Bourget, Olivier; Joye, Alain
2019
The $$\operatorname{Tan} 2 \Theta$$ theorem in fluid dynamics. Zbl 1434.35097
Grubišić, Luka; Kostrykin, Vadim; Makarov, Konstantin A.; Schmitz, Stephan; Veselić, Krešimir
2019
Local decay for weak interactions with massless particles. Zbl 07068316
Barbaroux, Jean-Marie; Faupin, Jérémy; Guillot, Jean-Claude
2019
$$\mathcal C$$-symmetric Hamiltonian systems with almost constant coefficients. Zbl 1444.34104
Behncke, Horst; Hinton, Don B.
2019
Sub-exponential decay of eigenfunctions for some discrete Schrödinger operators. Zbl 1415.39015
2019
Barrier-top resonances for non globally analytic potentials. Zbl 1420.35034
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher
2019
Peierls’ substitution for low lying spectral energy windows. Zbl 1440.35053
Cornean, Horia D.; Helffer, Bernard; Purice, Radu
2019
The index of generalised Dirac-Schrödinger operators. Zbl 1439.19008
van den Dungen, Koen
2019
On the rate of mixing of circle extensions of Anosov maps. Zbl 1431.37024
Naud, Frédéric
2019
Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. Zbl 1442.81027
Dietlein, Adrian; Gebert, Martin; Müller, Peter
2019
Spectral edge behavior for eventually monotone Jacobi and Verblunsky coefficients. Zbl 07130657
Lukic, Milivoje
2019
Level repulsion for Schrödinger operators with singular continuous spectrum. Zbl 07068315
Breuer, Jonathan; Weissman, Daniel
2019
Refined Heinz-Kato-Löwner inequalities. Zbl 1442.15034
Steinerberger, Stefan
2019
Subelliptic resolvent estimates for non-self-adjoint semiclassical Schrödinger operators. Zbl 1420.35075
Bellis, Ben
2019
The scattering operator on asymptotically hyperbolic manifolds. Zbl 1409.35163
Barreto, Antônio Sá; Wang, Yiran
2019
The gdmp inverse of Hilbert space operators. Zbl 1392.15009
Mosić, Dijana; Djordjević, Dragan S.
2018
Symmetry and Dirac points in graphene spectrum. Zbl 1411.35092
Berkolaiko, Gregory; Comech, Andrew
2018
Spectral stability of Schrödinger operators with subordinated complex potentials. Zbl 1391.35296
Fanelli, Luca; Krejčiřík, David; Vega, Luis
2018
Limiting absorption principle, generalized eigenfunctions, and scattering matrix for Laplace operators with boundary conditions on hypersurfaces. Zbl 1402.35194
Mantile, Andrea; Posilicano, Andrea; Sini, Mourad
2018
Differential equations for discrete Jacobi-Sobolev orthogonal polynomials. Zbl 1384.33019
Durán, Antonio J.; de la Iglesia, Manuel D.
2018
On weak and strong solution operators for evolution equations coming from quadratic operators. Zbl 1474.35196
Aleman, Alexandru; Viola, Joe
2018
A nodal domain theorem and a higher-order Cheeger inequality for the graph $$p$$-Laplacian. Zbl 06930087
Tudisco, Francesco; Hein, Matthias
2018
A multidimensional Borg-Levinson theorem for magnetic Schrödinger operators with partial spectral data. Zbl 1395.35215
Kian, Yavar
2018
Spectral distribution of PDE discretization matrices from isogeometric analysis: the case of $$L^1$$ coefficients and non-regular geometry. Zbl 1390.35211
Garoni, Carlo
2018
Local convergence of spectra and pseudospectra. Zbl 06930093
Bögli, Sabine
2018
Quantum confinement on non-complete Riemannian manifolds. Zbl 1415.58021
Prandi, Dario; Rizzi, Luca; Seri, Marcello
2018
Wave propagation on Euclidean surfaces with conical singularities. I: Geometric diffraction. Zbl 1403.35015
Ford, G. Austin; Hassell, Andrew; Hillairet, Luc
2018
Stability result for elliptic inverse periodic coefficient problem by partial Dirichlet-to-Neumann map. Zbl 1419.35239
Choulli, Mourad; Kian, Yavar; Soccorsi, Eric
2018
On the stability of some isoperimetric inequalities for the fundamental tones of free plates. Zbl 1400.35090
Buoso, Davide; Chasman, L. Mercredi; Provenzano, Luigi
2018
Large deviations and sum rules for spectral theory: a pedagogical approach. Zbl 1402.60029
Breuer, Jonathan; Simon, Barry; Zeitouni, Ofer
2018
Spectral estimates, contractions and hypercontractivity. Zbl 1396.35005
Milman, Emanuel
2018
Sharp Poincaré inequalities in a class of non-convex sets. Zbl 1407.35075
Brandolini, Barbara; Chiacchio, Francesco; Dryden, Emily B.; Langford, Jeffrey J.
2018
Frequency-dependent time decay of Schrödinger flows. Zbl 1423.35090
Fanelli, Luca; Felli, Veronica; Fontelos, Marco Antonio; Primo, Ana
2018
A Pleijel-type theorem for the quantum harmonic oscillator. Zbl 1400.35194
Charron, Philippe
2018
Contractivity and ground state domination properties for non-local Schrödinger operators. Zbl 1474.60127
Kaleta, Kamil; Kwaśnicki, Mateusz; Lőrinczi, József
2018
A “milder” version of Calderón’s inverse problem for anisotropic conductivities and partial data. Zbl 1390.35196
Ouhabaz, El Maati
2018
Completeness of rank one perturbations of normal operators with lacunary spectrum. Zbl 1440.42025
Baranov, Anton D.; Yakubovich, Dmitry V.
2018
An inequality for the Steklov spectral zeta function of a planar domain. Zbl 1395.35214
2018
Anderson localisation for infinitely many interacting particles in Hartree-Fock theory. Zbl 06930092
Ducatez, Raphael
2018
...and 194 more Documents
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### Cited by 1,402 Authors

 22 Mosić, Dijana 20 Damanik, David 19 Behrndt, Jussi 18 Krejčiřík, David 17 Raymond, Nicolas 16 Gesztesy, Fritz 16 Keller, Matthias 15 Fillman, Jake 12 Helffer, Bernard 12 Korotyaev, Evgeny L. 12 Laptev, Ari 12 Lenz, Daniel H. 12 Patie, Pierre 12 Sakhnovich, Alexander L. 12 Sukochev, Fedor Anatol’evich 12 Tiedra de Aldecoa, Rafael 11 Girouard, Alexandre 11 Kurasov, Pavel B. 11 Mugnolo, Delio 10 Kian, Yavar 10 Kostenko, Aleksey S. 10 Malamud, Mark M. 10 Rohleder, Jonathan 10 Stanimirović, Predrag S. 10 Trillos, Nicolás García 10 Uhlmann, Gunther Alberto 9 Colbois, Bruno 9 Green, William R. 9 Hua, Bobo 9 Karpukhin, Mikhail A. 9 Lassas, Matti J. 9 Lotoreichik, Vladimir 9 Lukic, Milivoje 9 Ong, Darren C. 9 Posilicano, Andrea 9 Teschl, Gerald 9 Vodev, Georgi 8 Duran, Antonio J. 8 Fanelli, Luca 8 Frank, Rupert L. 8 Hintz, Peter 8 Liu, Hongyu 8 Serra-Capizzano, Stefano 8 Siegl, Petr 8 Vassiliev, Dmitri G. 8 Vasy, András 8 Wojciechowski, Radosław Krzysztof 7 Garoni, Carlo 7 Ilyin, Alexei A. 7 Kennedy, James Bernard 7 Kiselev, Alexander V. 7 Larson, Simon 7 Léna, Corentin 7 Mantile, Andrea 7 Schmidt, Marcel 7 Weinstein, Michael I. 7 Zanin, Dmitriy V. 6 Bonnaillie-Noël, Virginie 6 Cherednichenko, Kirill D. 6 Chulaevsky, Victor 6 Didenko, Victor D. 6 Dyatlov, Semyon 6 Exner, Pavel 6 Felli, Veronica 6 Gorodetskii, Anton Semenovich 6 Jitomirskaya, Svetlana Yakovlevna 6 Kachmar, Ayman 6 Klein, Abel 6 Lagacé, Jean 6 Lin, Yong 6 Liu, Wencai 6 Neidhardt, Hagen 6 Oksanen, Lauri 6 Ruzhansky, Michael V. 6 Sabri, Mostafa 6 Sadel, Christian 6 Silbermann, Bernd 6 Soccorsi, Eric 6 Trunk, Carsten 6 Verri, Alessandra A. 5 Anantharaman, Nalini 5 Berkolaiko, Gregory 5 Carey, Alan L. 5 Cornean, Horia D. 5 Correggi, Michele 5 Cuenin, Jean-Claude 5 Deng, Youjun 5 Drouot, Alexis 5 Erdoğan, Mehmet Burak 5 Goldberg, Michael Joseph 5 Ingremeau, Maxime 5 Isozaki, Hiroshi 5 Khanmamedov, Agil Khanmamed ogly 5 Komech, Alexander Ilich 5 Kopylova, Elena A. 5 Kurylëv, Yaroslav Vadimovich 5 Lakshtanov, Evgeny L. 5 Langer, Matthias 5 Laugesen, Richard Snyder 5 Levitina, Galina Borisovna ...and 1,302 more Authors
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### Cited in 261 Journals

 80 Journal of Functional Analysis 75 Annales Henri Poincaré 64 Communications in Mathematical Physics 58 Journal of Mathematical Analysis and Applications 48 Journal of Spectral Theory 42 Journal of Mathematical Physics 36 Journal of Differential Equations 27 Letters in Mathematical Physics 26 Integral Equations and Operator Theory 23 Advances in Mathematics 23 The Journal of Geometric Analysis 22 Transactions of the American Mathematical Society 21 SIAM Journal on Mathematical Analysis 20 Proceedings of the American Mathematical Society 18 Calculus of Variations and Partial Differential Equations 16 Communications in Partial Differential Equations 14 Reviews in Mathematical Physics 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Archive for Rational Mechanics and Analysis 12 The Journal of Fourier Analysis and Applications 12 Inverse Problems and Imaging 11 Linear Algebra and its Applications 11 Complex Analysis and Operator Theory 10 SIAM Journal on Applied Mathematics 10 St. Petersburg Mathematical Journal 10 Analysis and Mathematical Physics 9 Journal d’Analyse Mathématique 9 Annales de l’Institut Fourier 9 Ergodic Theory and Dynamical Systems 9 Mathematical Physics, Analysis and Geometry 9 Operators and Matrices 8 Nonlinearity 8 Journal of Approximation Theory 8 Geometric and Functional Analysis. GAFA 8 Discrete and Continuous Dynamical Systems 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Inventiones Mathematicae 7 Mathematische Annalen 7 Russian Journal of Mathematical Physics 6 Applicable Analysis 6 Inverse Problems 6 Journal of Statistical Physics 6 Applied Mathematics and Computation 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Applied and Computational Harmonic Analysis 6 Sbornik: Mathematics 6 Communications in Contemporary Mathematics 6 Multiscale Modeling & Simulation 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Linear and Multilinear Algebra 5 Mathematical Notes 5 Functional Analysis and its Applications 5 Mathematische Zeitschrift 5 Annals of Global Analysis and Geometry 5 Asymptotic Analysis 5 Electronic Journal of Probability 5 Journal of the European Mathematical Society (JEMS) 5 Analysis & PDE 5 Journal of Pseudo-Differential Operators and Applications 5 Bulletin of Mathematical Sciences 5 Annals of PDE 4 Studia Mathematica 4 Mathematics of Computation 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Archiv der Mathematik 4 Mathematische Nachrichten 4 Mathematika 4 Numerische Mathematik 4 Quaestiones Mathematicae 4 Constructive Approximation 4 Integral Transforms and Special Functions 4 Communications on Pure and Applied Analysis 4 Oberwolfach Reports 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Research in the Mathematical Sciences 4 Séminaire Laurent Schwartz. EDP et Applications 4 Pure and Applied Analysis 3 Israel Journal of Mathematics 3 Reports on Mathematical Physics 3 Ukrainian Mathematical Journal 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Geometry and Physics 3 Canadian Journal of Mathematics 3 Duke Mathematical Journal 3 Journal für die Reine und Angewandte Mathematik 3 Results in Mathematics 3 SIAM Journal on Control and Optimization 3 Revista Matemática Iberoamericana 3 Differential Geometry and its Applications 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Potential Analysis 3 Computational and Applied Mathematics 3 Opuscula Mathematica 3 Annals of Mathematics. Second Series 3 Foundations of Computational Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of the Institute of Mathematics of Jussieu 3 Mediterranean Journal of Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis ...and 161 more Journals
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### Cited in 57 Fields

 733 Partial differential equations (35-XX) 427 Operator theory (47-XX) 319 Quantum theory (81-XX) 203 Global analysis, analysis on manifolds (58-XX) 150 Ordinary differential equations (34-XX) 100 Statistical mechanics, structure of matter (82-XX) 85 Probability theory and stochastic processes (60-XX) 82 Numerical analysis (65-XX) 78 Linear and multilinear algebra; matrix theory (15-XX) 78 Dynamical systems and ergodic theory (37-XX) 77 Functional analysis (46-XX) 71 Combinatorics (05-XX) 52 Differential geometry (53-XX) 49 Harmonic analysis on Euclidean spaces (42-XX) 43 Difference and functional equations (39-XX) 39 Functions of a complex variable (30-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 36 Optics, electromagnetic theory (78-XX) 29 Special functions (33-XX) 29 Mechanics of deformable solids (74-XX) 28 Potential theory (31-XX) 23 Real functions (26-XX) 23 Relativity and gravitational theory (83-XX) 19 Number theory (11-XX) 19 Fluid mechanics (76-XX) 19 Systems theory; control (93-XX) 16 Integral equations (45-XX) 12 Algebraic geometry (14-XX) 11 Measure and integration (28-XX) 11 Statistics (62-XX) 11 Computer science (68-XX) 10 Topological groups, Lie groups (22-XX) 10 Approximations and expansions (41-XX) 10 Manifolds and cell complexes (57-XX) 8 Abstract harmonic analysis (43-XX) 8 Integral transforms, operational calculus (44-XX) 7 $$K$$-theory (19-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Operations research, mathematical programming (90-XX) 6 Convex and discrete geometry (52-XX) 6 Mechanics of particles and systems (70-XX) 6 Biology and other natural sciences (92-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Geometry (51-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Algebraic topology (55-XX) 3 Astronomy and astrophysics (85-XX) 3 Geophysics (86-XX) 2 Mathematical logic and foundations (03-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Sequences, series, summability (40-XX) 2 General topology (54-XX) 1 Field theory and polynomials (12-XX)