Riesz transform and \(L^p\)-cohomology for manifolds with Euclidean ends. Zbl 1106.58021
Carron, Gilles; Coulhon, Thierry; Hassell, Andrew |
|
2006
|
Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I. Zbl 1141.58017
Guillarmou, Colin; Hassell, Andrew |
|
2008
|
Restriction and spectral multiplier theorems on asymptotically conic manifolds. Zbl 1293.35187
Guillarmou, Colin; Hassell, Andrew; Sikora, Adam |
|
2013
|
The Schrödinger propagator for scattering metrics. Zbl 1126.58016
Hassell, Andrew; Wunsch, Jared |
|
2005
|
Ergodic billiards that are not quantum unique ergodic (with an appendix by Andrew Hassell and Luc Hillairet). Zbl 1196.58014
Hassell, Andrew |
|
2010
|
Sharp Strichartz estimates on nontrapping asymptotically conic manifolds. Zbl 1177.58019
Hassell, Andrew; Tao, Terence; Wunsch, Jared |
|
2006
|
Analytic surgery and the accumulation of eigenvalues. Zbl 0854.58039
Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B. |
|
1995
|
Improvement of eigenfunction estimates on manifolds of nonpositive curvature. Zbl 1410.35264
Hassell, Andrew; Tacy, Melissa |
|
2015
|
Analytic surgery and analytic torsion. Zbl 0926.58004
Hassell, Andrew |
|
1998
|
Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. II. Zbl 1175.58011
Guillarmou, Colin; Hassell, Andrew |
|
2009
|
Quantum ergodicity of boundary values of eigenfunctions. Zbl 1054.58022
Hassell, Andrew; Zelditch, Steve |
|
2004
|
Spectral and scattering theory for symbolic potentials of order zero. Zbl 1038.35085
Hassell, Andrew; Melrose, Richard; Vasy, András |
|
2004
|
Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics. Zbl 1206.58009
Burq, Nicolas; Guillarmou, Colin; Hassell, Andrew |
|
2010
|
Resolvent at low energy. III: The spectral measure. Zbl 1303.58010
Guillarmou, Colin; Hassell, Andrew; Sikora, Adam |
|
2013
|
The spectral projections and the resolvent for scattering metrics. Zbl 0981.58025
Hassell, Andrew; Vasy, András |
|
1999
|
Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions. Zbl 1014.58015
Hassell, Andrew; Tao, Terence |
|
2002
|
Global-in-time Strichartz estimates on nontrapping, asymptotically conic manifolds. Zbl 1333.35226
Hassell, Andrew; Zhang, Junyong |
|
2016
|
Semiclassical \(L^p\) estimates of quasimodes on curved hypersurfaces. Zbl 1256.35218
Hassell, Andrew; Tacy, Melissa |
|
2012
|
Determinants of Laplacians in exterior domains. Zbl 0941.58020
Hassell, Andrew; Zelditch, Steve |
|
1999
|
Symbolic functional calculus and \(N\)-body resolvent estimates. Zbl 0960.58025
Hassell, Andrew; Vasy, András |
|
2000
|
Uniform Sobolev estimates for non-trapping metrics. Zbl 1321.58013
Guillarmou, Colin; Hassell, Andrew |
|
2014
|
The semiclassical resolvent and the propagator for non-trapping scattering metrics. Zbl 1131.58018
Hassell, Andrew; Wunsch, Jared |
|
2008
|
A Strichartz inequality for the Schrödinger equation on nontrapping asymptotically conic manifolds. Zbl 1068.35119
Hassell, Andrew; Tao, Terence; Wunsch, Jared |
|
2005
|
Microlocal propagation near radial points and scattering for symbolic potentials of order zero. Zbl 1152.35454
Hassell, Andrew; Melrose, Richard; Vasy, András |
|
2008
|
The resolvent for Laplace-type operators on asymptotically conic spaces. Zbl 0983.35098
Hassell, Andrew; Vasy, András |
|
2001
|
Exterior mass estimates and \(L^{2}\)-restriction bounds for Neumann data along hypersurfaces. Zbl 1410.58012
Christianson, Hans; Hassell, Andrew; Toth, John A. |
|
2015
|
Off-singularity bounds and Hardy spaces for Fourier integral operators. Zbl 1443.42013
Hassell, Andrew; Portal, Pierre; Rozendaal, Jan |
|
2020
|
The Riesz transform for homogeneous Schrödinger operators on metric cones. Zbl 1326.42027
Hassell, Andrew; Lin, Peijie |
|
2014
|
Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds. I: Resolvent construction at high energy. Zbl 1351.58018
Chen, Xi; Hassell, Andrew |
|
2016
|
Fast computation of high-frequency Dirichlet eigenmodes via spectral flow of the interior Neumann-to-Dirichlet map. Zbl 1288.65160
Barnett, Alex; Hassell, Andrew |
|
2014
|
A signature formula for manifolds with corners of codimension two. Zbl 0883.58038
Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B. |
|
1997
|
Eigenfunction concentration for polygonal billiards. Zbl 1173.35620
Hassell, Andrew; Hillairet, Luc; Marzuola, Jeremy |
|
2009
|
Riesz transforms in one dimension. Zbl 1187.42008
Hassell, Andrew; Sikora, Adam |
|
2009
|
Wave propagation on Euclidean surfaces with conical singularities. I: Geometric diffraction. Zbl 1403.35015
Ford, G. Austin; Hassell, Andrew; Hillairet, Luc |
|
2018
|
Boundary quasi-orthogonality and sharp inclusion bounds for large Dirichlet eigenvalues. Zbl 1227.35224
Barnett, A. H.; Hassell, A. |
|
2011
|
Erratum to: “Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions”. Zbl 1221.58019
Hassell, Andrew; Tao, Terence |
|
2010
|
Riesz transforms on a class of non-doubling manifolds. Zbl 1440.42055
Hassell, Andrew; Sikora, Adam |
|
2019
|
Distorted plane waves for the 3 body Schrödinger operator. Zbl 0953.35122
Hassell, Andrew |
|
2000
|
Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds. II: Spectral measure, restriction theorem, spectral multipliers.
(Résolvante et Mesure Spectrale sur une Variété Asymptotiquement Hyperbolique Non-captant. II: Mesure Spectrale, Théorème de Restriction, Multiplicateurs spectraux.) Zbl 1403.58012
Chen, Xi; Hassell, Andrew |
|
2018
|
Comparable upper and lower bounds for boundary values of Neumann eigenfunctions and tight inclusion of eigenvalues. Zbl 1407.35087
Barnett, Alex H.; Hassell, Andrew; Tacy, Melissa |
|
2018
|
Eigenvalues of Schrödinger operators with potential asymptotically homogeneous of degree \(-2\). Zbl 1147.35066
Hassell, Andrew; Marshall, Simon |
|
2008
|
Eigenvalue bounds for non-self-adjoint Schrödinger operators with nontrapping metrics. Zbl 1452.35122
Guillarmou, Colin; Hassell, Andrew; Krupchyk, Katya |
|
2020
|
The Yang-Mills-Higgs heat flow on \(\mathbb{R}^ 3\). Zbl 0778.35048
Hassell, Andrew |
|
1993
|
Spreading of quasimodes in the Bunimovich stadium. Zbl 1111.35013
Burq, Nicolas; Hassell, Andrew; Wunsch, Jared |
|
2007
|
Completeness of boundary traces of eigenfunctions. Zbl 1328.58029
Han, Xiaolong; Hassell, Andrew; Hezari, Hamid; Zelditch, Steve |
|
2015
|
Spectral asymptotics for the semiclassical Dirichlet to Neumann operator. Zbl 1373.35211
Hassell, Andrew; Ivrii, Victor |
|
2017
|
The AMSI-ANU workshop on spectral theory and harmonic analysis. Proceedings of the workshop, Canberra, Australia, July 13–17, 2009. Zbl 1218.47003
|
|
2010
|
Approximation and equidistribution of phase shifts: spherical symmetry. Zbl 1293.35320
Datchev, Kiril; Gell-Redman, Jesse; Hassell, Andrew; Humphries, Peter |
|
2014
|
The heat kernel on asymptotically hyperbolic manifolds. Zbl 1448.35275
Chen, Xi; Hassell, Andrew |
|
2020
|
Equidistribution of phase shifts in semiclassical potential scattering. Zbl 1323.35121
Gell-Redman, Jesse; Hassell, Andrew; Zelditch, Steve |
|
2015
|
What is quantum unique ergodicity? Zbl 1242.58018
Hassell, Andrew |
|
2011
|
Potential scattering and the continuity of phase-shifts. Zbl 1302.35283
Gell-Redman, Jesse; Hassell, Andrew |
|
2012
|
Resonant rigidity of \(S^2\). Zbl 0954.35125
Hassell, Andrew; Zworski, Maciej |
|
1999
|
Scattering matrices for the quantum \(N\) body problem. Zbl 0942.35125
Hassell, Andrew |
|
2000
|
Intersecting Legendrians and blow-ups. Zbl 0998.58021
Hassell, Andrew; Vasy, András |
|
2001
|
Existence and asymptotics of nonlinear Helmholtz eigenfunctions. Zbl 1455.35163
Gell-Redman, Jesse; Hassell, Andrew; Shapiro, Jacob; Zhang, Junyong |
|
2020
|
Book review of: C. D. Sogge, Hangzhou lectures on eigenfunctions of the Laplacian. Zbl 1346.00021
Hassell, Andrew |
|
2016
|
On the structure of the Schrödinger propagator. Zbl 1062.35098
Hassell, Andrew; Wunsch, Jared |
|
2004
|
Estimates on Neumann eigenfunctions at the boundary, and the “method of particular solutions” for computing them. Zbl 1317.35020
Hassell, Andrew; Barnett, Alex |
|
2012
|
The distribution of phase shifts for semiclassical potentials with polynomial decay. Zbl 1484.35168
Gell-Redman, Jesse; Hassell, Andrew |
|
2020
|
\(L^p\) and \(\mathcal{H}_{FIO}^p\) regularity for wave equations with rough coefficients. Zbl 1522.35130
Hassell, Andrew; Rozendaal, Jan |
|
2023
|
\(L^p\) and \(\mathcal{H}_{FIO}^p\) regularity for wave equations with rough coefficients. Zbl 1522.35130
Hassell, Andrew; Rozendaal, Jan |
|
2023
|
Off-singularity bounds and Hardy spaces for Fourier integral operators. Zbl 1443.42013
Hassell, Andrew; Portal, Pierre; Rozendaal, Jan |
|
2020
|
Eigenvalue bounds for non-self-adjoint Schrödinger operators with nontrapping metrics. Zbl 1452.35122
Guillarmou, Colin; Hassell, Andrew; Krupchyk, Katya |
|
2020
|
The heat kernel on asymptotically hyperbolic manifolds. Zbl 1448.35275
Chen, Xi; Hassell, Andrew |
|
2020
|
Existence and asymptotics of nonlinear Helmholtz eigenfunctions. Zbl 1455.35163
Gell-Redman, Jesse; Hassell, Andrew; Shapiro, Jacob; Zhang, Junyong |
|
2020
|
The distribution of phase shifts for semiclassical potentials with polynomial decay. Zbl 1484.35168
Gell-Redman, Jesse; Hassell, Andrew |
|
2020
|
Riesz transforms on a class of non-doubling manifolds. Zbl 1440.42055
Hassell, Andrew; Sikora, Adam |
|
2019
|
Wave propagation on Euclidean surfaces with conical singularities. I: Geometric diffraction. Zbl 1403.35015
Ford, G. Austin; Hassell, Andrew; Hillairet, Luc |
|
2018
|
Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds. II: Spectral measure, restriction theorem, spectral multipliers.
(Résolvante et Mesure Spectrale sur une Variété Asymptotiquement Hyperbolique Non-captant. II: Mesure Spectrale, Théorème de Restriction, Multiplicateurs spectraux.) Zbl 1403.58012
Chen, Xi; Hassell, Andrew |
|
2018
|
Comparable upper and lower bounds for boundary values of Neumann eigenfunctions and tight inclusion of eigenvalues. Zbl 1407.35087
Barnett, Alex H.; Hassell, Andrew; Tacy, Melissa |
|
2018
|
Spectral asymptotics for the semiclassical Dirichlet to Neumann operator. Zbl 1373.35211
Hassell, Andrew; Ivrii, Victor |
|
2017
|
Global-in-time Strichartz estimates on nontrapping, asymptotically conic manifolds. Zbl 1333.35226
Hassell, Andrew; Zhang, Junyong |
|
2016
|
Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds. I: Resolvent construction at high energy. Zbl 1351.58018
Chen, Xi; Hassell, Andrew |
|
2016
|
Book review of: C. D. Sogge, Hangzhou lectures on eigenfunctions of the Laplacian. Zbl 1346.00021
Hassell, Andrew |
|
2016
|
Improvement of eigenfunction estimates on manifolds of nonpositive curvature. Zbl 1410.35264
Hassell, Andrew; Tacy, Melissa |
|
2015
|
Exterior mass estimates and \(L^{2}\)-restriction bounds for Neumann data along hypersurfaces. Zbl 1410.58012
Christianson, Hans; Hassell, Andrew; Toth, John A. |
|
2015
|
Completeness of boundary traces of eigenfunctions. Zbl 1328.58029
Han, Xiaolong; Hassell, Andrew; Hezari, Hamid; Zelditch, Steve |
|
2015
|
Equidistribution of phase shifts in semiclassical potential scattering. Zbl 1323.35121
Gell-Redman, Jesse; Hassell, Andrew; Zelditch, Steve |
|
2015
|
Uniform Sobolev estimates for non-trapping metrics. Zbl 1321.58013
Guillarmou, Colin; Hassell, Andrew |
|
2014
|
The Riesz transform for homogeneous Schrödinger operators on metric cones. Zbl 1326.42027
Hassell, Andrew; Lin, Peijie |
|
2014
|
Fast computation of high-frequency Dirichlet eigenmodes via spectral flow of the interior Neumann-to-Dirichlet map. Zbl 1288.65160
Barnett, Alex; Hassell, Andrew |
|
2014
|
Approximation and equidistribution of phase shifts: spherical symmetry. Zbl 1293.35320
Datchev, Kiril; Gell-Redman, Jesse; Hassell, Andrew; Humphries, Peter |
|
2014
|
Restriction and spectral multiplier theorems on asymptotically conic manifolds. Zbl 1293.35187
Guillarmou, Colin; Hassell, Andrew; Sikora, Adam |
|
2013
|
Resolvent at low energy. III: The spectral measure. Zbl 1303.58010
Guillarmou, Colin; Hassell, Andrew; Sikora, Adam |
|
2013
|
Semiclassical \(L^p\) estimates of quasimodes on curved hypersurfaces. Zbl 1256.35218
Hassell, Andrew; Tacy, Melissa |
|
2012
|
Potential scattering and the continuity of phase-shifts. Zbl 1302.35283
Gell-Redman, Jesse; Hassell, Andrew |
|
2012
|
Estimates on Neumann eigenfunctions at the boundary, and the “method of particular solutions” for computing them. Zbl 1317.35020
Hassell, Andrew; Barnett, Alex |
|
2012
|
Boundary quasi-orthogonality and sharp inclusion bounds for large Dirichlet eigenvalues. Zbl 1227.35224
Barnett, A. H.; Hassell, A. |
|
2011
|
What is quantum unique ergodicity? Zbl 1242.58018
Hassell, Andrew |
|
2011
|
Ergodic billiards that are not quantum unique ergodic (with an appendix by Andrew Hassell and Luc Hillairet). Zbl 1196.58014
Hassell, Andrew |
|
2010
|
Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics. Zbl 1206.58009
Burq, Nicolas; Guillarmou, Colin; Hassell, Andrew |
|
2010
|
Erratum to: “Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions”. Zbl 1221.58019
Hassell, Andrew; Tao, Terence |
|
2010
|
The AMSI-ANU workshop on spectral theory and harmonic analysis. Proceedings of the workshop, Canberra, Australia, July 13–17, 2009. Zbl 1218.47003
|
|
2010
|
Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. II. Zbl 1175.58011
Guillarmou, Colin; Hassell, Andrew |
|
2009
|
Eigenfunction concentration for polygonal billiards. Zbl 1173.35620
Hassell, Andrew; Hillairet, Luc; Marzuola, Jeremy |
|
2009
|
Riesz transforms in one dimension. Zbl 1187.42008
Hassell, Andrew; Sikora, Adam |
|
2009
|
Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I. Zbl 1141.58017
Guillarmou, Colin; Hassell, Andrew |
|
2008
|
The semiclassical resolvent and the propagator for non-trapping scattering metrics. Zbl 1131.58018
Hassell, Andrew; Wunsch, Jared |
|
2008
|
Microlocal propagation near radial points and scattering for symbolic potentials of order zero. Zbl 1152.35454
Hassell, Andrew; Melrose, Richard; Vasy, András |
|
2008
|
Eigenvalues of Schrödinger operators with potential asymptotically homogeneous of degree \(-2\). Zbl 1147.35066
Hassell, Andrew; Marshall, Simon |
|
2008
|
Spreading of quasimodes in the Bunimovich stadium. Zbl 1111.35013
Burq, Nicolas; Hassell, Andrew; Wunsch, Jared |
|
2007
|
Riesz transform and \(L^p\)-cohomology for manifolds with Euclidean ends. Zbl 1106.58021
Carron, Gilles; Coulhon, Thierry; Hassell, Andrew |
|
2006
|
Sharp Strichartz estimates on nontrapping asymptotically conic manifolds. Zbl 1177.58019
Hassell, Andrew; Tao, Terence; Wunsch, Jared |
|
2006
|
The Schrödinger propagator for scattering metrics. Zbl 1126.58016
Hassell, Andrew; Wunsch, Jared |
|
2005
|
A Strichartz inequality for the Schrödinger equation on nontrapping asymptotically conic manifolds. Zbl 1068.35119
Hassell, Andrew; Tao, Terence; Wunsch, Jared |
|
2005
|
Quantum ergodicity of boundary values of eigenfunctions. Zbl 1054.58022
Hassell, Andrew; Zelditch, Steve |
|
2004
|
Spectral and scattering theory for symbolic potentials of order zero. Zbl 1038.35085
Hassell, Andrew; Melrose, Richard; Vasy, András |
|
2004
|
On the structure of the Schrödinger propagator. Zbl 1062.35098
Hassell, Andrew; Wunsch, Jared |
|
2004
|
Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions. Zbl 1014.58015
Hassell, Andrew; Tao, Terence |
|
2002
|
The resolvent for Laplace-type operators on asymptotically conic spaces. Zbl 0983.35098
Hassell, Andrew; Vasy, András |
|
2001
|
Intersecting Legendrians and blow-ups. Zbl 0998.58021
Hassell, Andrew; Vasy, András |
|
2001
|
Symbolic functional calculus and \(N\)-body resolvent estimates. Zbl 0960.58025
Hassell, Andrew; Vasy, András |
|
2000
|
Distorted plane waves for the 3 body Schrödinger operator. Zbl 0953.35122
Hassell, Andrew |
|
2000
|
Scattering matrices for the quantum \(N\) body problem. Zbl 0942.35125
Hassell, Andrew |
|
2000
|
The spectral projections and the resolvent for scattering metrics. Zbl 0981.58025
Hassell, Andrew; Vasy, András |
|
1999
|
Determinants of Laplacians in exterior domains. Zbl 0941.58020
Hassell, Andrew; Zelditch, Steve |
|
1999
|
Resonant rigidity of \(S^2\). Zbl 0954.35125
Hassell, Andrew; Zworski, Maciej |
|
1999
|
Analytic surgery and analytic torsion. Zbl 0926.58004
Hassell, Andrew |
|
1998
|
A signature formula for manifolds with corners of codimension two. Zbl 0883.58038
Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B. |
|
1997
|
Analytic surgery and the accumulation of eigenvalues. Zbl 0854.58039
Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B. |
|
1995
|
The Yang-Mills-Higgs heat flow on \(\mathbb{R}^ 3\). Zbl 0778.35048
Hassell, Andrew |
|
1993
|